FAAG Publications

Books and Special Issues

E.M. Rocha, F. Curado, (edts): Special Issue on Multiple Scale Modeling of Geophysical Processes, Mathematical Geosciences, Vol. 50, Issue 5, ISSN: 1874-8961, [springer] Springer, 2018.

K. Murillo, E.M. Rocha et. al, (edits): Innovación, inclusión social y prospectiva en la gestión gerencial, USC, ISBN 978-958-5522-72-5, 2018.

K. Murillo, E.M. Rocha et. al, (edits): Investigaciones en gestión empresarial, ambiental y competitividad, USC, ISBN 978-958-5522-70-1, 2018.

Book Chapters

K. Murillo, E.M. Rocha, C. García: Estudio de eficiencia en la prestación de servicios de salud. el caso de los hospitales públicos de primer nivel en el Valle del Cauca, in the book (Investigaciones en gestión empresarial, ambiental y competitividad, K. Murillo, E. Rocha et. al edts, USC, Colombia, 2018), 7-36.

K. Murillo, E.M. Rocha, G. Santinha, C. García: Salud y territorio: reflexión teórica sobre la relación equidad/eficiencia en la salud, in the book (Innovación, inclusión social y prospectiva en la gestión gerencial, K. Murillo, E. Rocha et. al edts, USC, Colombia, 2018), 7-33.

Papers in International Journals with referees

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Positive solutions for parametric nonlinear nonhomogeneous Robin problems (hdl.handle.net), Funkcialaj Ekvacioj, 61, 2018, 285-313.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Sensitivity analysis of parametric elliptic optimal control problems (www.ybook.co.jp, Pure and Applied Functional Analysis, 3, 2018, 27-42.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Strongly nonlinear second order multivalued Dirichlet systems (hdl.handle.net), J. Nonlinear Variational Analysis, 2, 2018, 3-23.

A. Almeida, L. Diening, P. Hästö: Homogeneous variable exponent Besov and Triebel–Lizorkin spaces (hdl://10773/23897 and doi.org), Mathematische Nachrichten, 291, 2018, 1177-1190.

A. Almeida, S. Samko: Approximation in generalized Morrey spaces (hdl://10773/23898 and doi.org), Georgian Mathematical Journal, 25, 2018, 155-168.

A. Iannizzotto, E.M. Rocha, S. Santos: Two Solutions for fractional p-Laplacian inclusions under non resonance (EJDE online), EJDE 122 (2018), 1-14.

L.P. Castro, L.T. Minh, N.M. Tuan: New convolutions for quadratic-phase Fourier integral operators and their applications (hdl://10773/21367, rdcu.be and doi.org), Mediterranean Journal of Mathematics, 15 (13), 2018, 1-17.

L.P. Castro, A.M. Simões: Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric (http://hdl.handle.net/10773/22992 and onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 4857, 2018, 1-17.

A. Cellina, V. Staicu: On the regularity of solutions to variational problems of fast growth (hdl.handle.net), Calc. Var. (2018). vol. 57, n. 2: Art. 66, 2018, 13 pp.

N.J. Ford, H. Moayyed and M.M. Rodrigues: Orthogonality for a class of generalised Jacobi polynomials (hdl.handle.net), Fractional Differ. Calc., 8(1), 2018, 95-110.

L. Huang, E.M. Rocha: On a class of N-dimensional anisotropic Sobolev inequalities (doi.org/10.1186/), J. Ineq. and Appl. 163 (2018), 1-22.

V.N. Huy, M.M. Rodrigues and N. M. Tuan: Norm estimates and uncertainty principles associated with the Laguerre integral transform (hdl.handle.net), Complex Anal. Oper. Theory, 12, 2018, 683-704.

K.P. Murillo, E.M. Rocha: The Portuguese Manufacturing Sector during 2013-2016 after the Troika Austerity Measures (http://hdl.handle.net/10773/24081 and https://doi.org/10.22440/wjae.4.1.2), World Journal of Applied Economics, 4(1), 2018, 21-38.

K.P. Murillo, E.M. Rocha, C.I. Pardo: Energy production and C02 emisson efficiency of eight European countries in the manufacturing area (https://doi.org/10.24297/ijmit.v13i1.7427), International Journal of Information Technology and Management, 13 (1), 2018, 3235-3251.

K.P. Murillo, E.M. Rocha, J.S. Ramalho: About the efficiency behavior of the Portuguese manufacturing firms during the financial crisis (http://dx.doi.org/10.14510%2Flm-ns.v0i0.1399), Libertas Mathematica (new series), 38 (1), 2018, 1-27.

K.P. Murillo, E.M. Rocha, C.A. García: Análisis de eficiencia multidireccional en hospitales públicos del Valle del Cauca (https://doi.org/10.11144/Javeriana.rgps17-34.aemh), Revista Gerencia y Políticas de Salud, 17(34), 2018, 1-20.

F. Leonetti, E. M. Rocha, V. Staicu: Smallness and cancellation in some elliptic systems with. measure data (hdl.handle.net), J. Math. Anal. Appl., 465, 2018, 885-902.

E.M. Rocha, C.J. Silva, D.F.M. Torres: The effect of immigrant communities coming from higher incidence tuberculosis regions to a host country(hdl.handle.net)), Ricerche di Matematica, 67(1) 2018, 89–112.

Papers in International Conference Proceedings with referees

K. Murillo, E. Rocha: Financial Health of the Spanish Educational Private Institutions. (https://doi.org/10.21125/edulearn.2018.1986), 10th International Conference on Education and New Learning Technologies (Edulearn18), Gómez Chova A. López Martínez I. Candel Torres, 8532-8541, Palma, Spain, 2018.
 
Book Chapters

L.P. Castro, F.-O. Speck: Convolution type operators with symmetry in Bessel potential spaces (hdl://10773/17128, link.springer.com and sweet.ua.pt), V. Mazya, D. Natroshvili, E. Shargorodsky, W. L. Wendland (Eds.), Recent Trends in Operator Theory and Partial Differential Equations - The Roland Duduchava Anniversary Volume, 21-49, Operator Theory: Advances and Applications 158, Birkhäuser, Basel, 2017.

L.P. Castro, R.C. Guerra, N.M. Tuan: On a class of integral equations involving kernels of cosine and sine type (hdl://10773/18542, link.springer.com and sweet.ua.pt), C. Constanda et al. (Eds.), Integral Methods in Science and Engineering, 47-57, Birkhäuser, Springer, Basel, 2017.

M. M. Rodrigues, N. Vieira: Some properties of the fractional circle Zernike polynomials (hdl://10773/18419 and sweet.ua.pt), C. Constanda, M. Dalla Riva, P.D. Lamberti, P. Musolino (Eds.), Integral Methods in Science and Engineering, 265-276, Birkhäuser/ Springer, Basel, 2017.

MSc Thesis

Natália da Costa Ramalho: Análise do fluxo dos utentes nas urgências do Centro Hospitalar do Baixo Vouga, E.P.E, Aveiro, December, 2017, 124 pp, [Supervisor(s): G. Santinha, E.M. Rocha], available at ria.ua.pt.

Papers in International Journals with referees

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Nonlinear Dirichlet problems with double resonance (hdl://10773/17236. ), Communications on Pure and Applied Analysis, 16, 2017, 1147-1168.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Nonlinear nonconvex second order multivalued systems with maximal monotone terms (hdl://10773/18703), Pure and Applied Functional Analysis. Special Issue on Operator Theory., 2, 2017, 553-574.

A. Almeida, S. Samko: Embeddings of local generalized Morrey spaces between weighted Lebesgue spaces (hdl://10773/18638 and. dx.doi.org), Nonlinear Analysis, 164, 2017, 67-76.

A. Almeida, S. Samko: Approximation in Morrey spaces (hdl://10773/16622, arxiv.org and dx.doi.org), Journal of Functional Analysis, 272, 2017, 2392-2411.

P.K. Anh, L.P. Castro, P.T. Thao, N.M. Tuan: Two new convolutions for the fractional Fourier transform (hdl://10773/16666, link.springer.com and sweet.ua.pt), Wireless Personal Communications, 92(2), 2017, 623-637.

L.P. Castro, A.M. Simões: Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations (hdl://10773/21063 and www.pmf.ni.ac.rs), Filomat, 31(17), 2017, 5379-5390.

M. Ferreira, M. M. Rodrigues, N. Vieira: Fundamental solution of the multi-dimensional time fractional telegraph equation (hdl://10773/18422), Fractional Calculus and Applied Analysis, 20(4), 2017, 868-894.

F. Leonetti, E. M. Rocha, V. Staicu: Quasilinear elliptic systems with measure data(hdl://10773/15597), Nonlinear Analysis, 154, 2017, 210-224.

Y. Luchko, M. M. Rodrigues: Some new properties and applications of a fractional Fourier transform (ilirias.com and hdl://10773/17231), Journal of Inequalities and Special Functions (Special issue To honor Prof Ivan Dimovski), 8(1), 2017, 13-27.

Papers in International Conference Proceedings with referees

P.K. Anh, L.P. Castro, P.T. Thao, N.M. Tuan: Inequalities and consequences of new convolutions for the fractional Fourier transform with Hermite weights (hdl://10773/16734 and dx.doi.org), American Institute of Physics, AIP Proceedings, 1798(1), 020006, 10-pp., NY, 2017.

L.P. Castro, R.C. Guerra, N.M. Tuan: Heisenberg uncertainty principles for an oscillatory integral operator (hdl://10773/16729 and dx.doi.org), American Institute of Physics, AIP Proceedings, 1798(1), 020037, 10-pp., NY, 2017.

L.P. Castro, A.S. Silva: Odd asymmetric factorization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces (hdl://10773/16735 and dx.doi.org), American Institute of Physics, AIP Proceedings, 1798(1), 020038, 10-pp., NY, 2017.

L.P. Castro, A.M. Simões: Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations (hdl://10773/16736 and dx.doi.org), American Institute of Physics, AIP Proceedings, 1798(1), 020036, 10-pp., NY, 2017.

L.P. Castro, A.M. Simões: Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of integral equations on finite intervals (hdl://10773/18069), Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering, J. Vigo-Aguiar et al, 507-515, Spain, 2017.

M. M. Rodrigues, V. N. Huy and N. M. Tuan: Some operational properties of the Laguerre transform (hdl://10773/17231 and dx.doi.org), American Institute of Physics, AIP Proceedings, 1798(1), 020130, 10 pp, NY, 2017.
 
MSc Thesis

Pedro Afonso Teodoro Faria Queiroz: Aplicação da equação de Bessel fracionária na descrição da topografia da córnea(hdl://10773/21196), University of Aveiro, December, 2016, 63 pp, [Supervisor(s): M. M. Rodrigues].

Sandra Cristina Martins Barbosa: O ensino do cálculo diferencial e integral motivado por fenómenos de difusão(http://hdl.handle.net/10773/22190), University of Aveiro, July, 2016, 84 pp, [Supervisor(s): M. M. Rodrigues].

Papers in International Journals with referees

S. Aizicovici, N. S. Papageorgiou and V. Staicu: Positive solutions for parametric Dirichlet problems with indefinite potential and superdifusive rection (hdl://10773/15711), Topological Methods Nonlinear Analysis, 47, No. 2, 2016, 423-438.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Semilinear Neumann equations with indefinite and unbounded potential (hdl://10773/15436), Houston J. Math., 42, 2016, 307-340.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Nonlinear nonhomogeneous parametric Neumann problems (hdl://10773/16195), Topol. Methods Nonlinear Anal., 48, 2016, 45-69.

A. Almeida, A. Caetano: On 2-microlocal spaces with all exponents variable. (hdl://10773/15212 and arxiv.org), Nonlinear Analysis: Theory, Methods & Applications, 135, 2016, 97-119.

A. Almeida, A. Caetano: Atomic and molecular decompositions in variable exponent 2-microlocal spaces and applications. (hdl://10773/14981 and arxiv.org), Journal of Functional Analysis, 270, 2016, 1888-1921.

A. Bressan, V. Staicu: Random Extremal Solutions of Differential Inclusions (hdl://10773/15530), Nonlinear Differential Equations and Applications NoDea, 23(3), 2016, 1-16.

A. Caetano, A. Gogatishvili, B. Opic: Compactness in quasi-Banach function spaces and applications to compact embeddings of Besov-type spaces (hdl://10773/15979, arxiv.org and dx.doi.org), Proceedings of the Royal Society of Edinburgh, Section A, Mathematics, 146, 2016, 905-927.

L.P. Castro, E. Pesetskaya: Properties of a composite material with mixed imperfect contact conditions (hdl://10773/15634 and sweet.ua.pt), Mathematical Modelling and Analysis, 21(3), 2016, 283-303.

L.P. Castro, S. Saitoh, A. Yamada: Solutions of Tikhonov functional equations and applications to multiplication operators on Szegö spaces (hdl://10773/16216 and link.springer.com), Complex Analysis and Operator Theory, 10(8), 2016, 1705-1723.

L.P. Castro, A.S. Silva: On the kernels of Wiener-Hopf-Hankel operators on variable exponent Lebesgue spaces (hdl://10773/15190 and sweet.ua.pt), Math. Eng. Sci. Aerosp. MESA, 7(2), 2016, 375-386.

L.P. Castro, A.S. Silva: Invertibility characterization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization (hdl://10773/16229 and dx.doi.org), Georgian Mathematical Journal, 23(4), 2016, 477-488.

A. Cellina, V. Staicu: The existence of solutions to variational problems of slow growth (hdl://10773/15347), J. Differential Equations, 260, 2016, 5834-5846.

J. Chen, E.M. Rocha: Sign changing solutions of a semilinear equation on Heisenberg group (hdl://10773/16469), Journal of Nonlinear and Convex Analysis, 17, 2016, 1531-1545.

L. Huang, E. Rocha, J. Chen: On the Schrödinger–Poisson system with a general indefinite nonlinearity (hdl://10773/16464), Nonlinear Analysis: Real World Applications, 28, 2016, 1-19.

N.S. Papageorgiou, S.R. A. Santos, V. Staicu: On (p,q)− equations with concave terms (hdl://10773/16196), Advances in Mathematical Sciences and Applications, 25, 2016, 1-32.

Reports and Other Publications

A. Caetano: EDOs (youtu.be), Promotional video produced for the Chapter on Ordinary Differential Equations in Calculus II lectured in the University of Aveiro, Aveiro, 2016.

A. Caetano: I. Pensar., II. Inverter, compor e trocar (ou não), III. Inequações, funções e seus gráficos, 3 texts introducing the Calculus I course, University of Aveiro, 2016.

A. Caetano: Transformação de Laplace (youtu.be), Promotional video produced for the Chapter on Laplace Transforms in Calculus II lectured in the University of Aveiro, Aveiro, 2016.

Vasile Staicu: Recent Trends in Differential Equations, Aveiro June 27–29, 2016 (hdl.handle.net), CIM Bulletin Number 36(2016), CIM - INTERNATIONAL CENTER FOR MATHEMATICS,, Portugal, 2016.
 
Book Chapters

L.P. Castro, H. Fujiwara, M.M. Rodrigues, S. Saitoh, V. Tuan: Reproducing kernels and discretization (sweet.ua.pt and hdl://10773/14634), V. Mityushev, M.V. Ruzhansky (eds.), Current Trends in Analysis and Its Applications, 553-559, Springer/Birkhäuser, Basel, 2015.

M.M. Rodrigues, S. Saitoh: Whittaker Differential Equation Associated to the Initial Heat Problem (sweet.ua.pt and hdl://10773/14633), V. Mityushev, M.V. Ruzhansky, Current Trends in Analysis and Its Applications, 523-530, Springer/Birkhäuser, Basel, 2015.

Papers in International Journals with referees

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Positive solutions for parametric nonlinear periodic problems with competing nonlinearities (hdl://10773/14983, Electronic J. Differential Equations, 2015, 2015, 1-18.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Nonlinear periodic problems with a jumping reaction (hdl://10773/16197), Libertas Mathematica (n. s.), 35, 2015, 57-83.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Periodic problems with a reaction of arbitrary growth (hdl.handle.net, Journal of Nonlinear and Convex Analysis, 16, 2015, 985-1011.

S. Aizicovici, N.S. Papageorgiou, V. Staicu: Constant sign and nodal solutions for nonlinear elliptic equations with combined nonlinearities (hdl://10773/14988), Methods and Applications of Analysis, 22, 2015, 221-248.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Nodal solutions for (p,2)-equations (hdl.handle.net), Trans. Amer. Math. Soc., 367, 2015, 7343-7372.

A. Almeida, P. Harjulehto, P. Hästö, T. Lukkari: Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces (ria.ua.pt and hdl://10773/14884), Annali di Matematica Pura ed Applicata, 194, 2015, 405-424.

A. Caetano, D. Haroske: Embeddings of Besov spaces on fractal h-sets (hdl://10773/14835), Banach Journal of Mathematical Analysis, 9 (4), 2015, 259-295.

A. Caetano, D. Haroske: Traces for Besov spaces on fractal h-sets and dichotomy results (hdl://10773/15559), Studia Mathematica, 231, 2015, 117-147.

L.P. Castro, R.C. Guerra, N.M. Tuan: On integral operators generated by the Fourier transform and a reflection (rmi.tsu.ge and ria.ua.pt), Memoirs on Differential Equations and Mathematical Physics, 66, 2015, 7-31.

L.P. Castro, D. Kapanadze: Wave diffraction by wedges having arbitrary aperture angle (ria.ua.pt), Journal of Mathematical Analysis and Applications, 421, 2015, 1295-1314.

L.P. Castro, D. Kapanadze: Crack impedance-Dirichlet boundary value problems of diffraction in a half-plane (sweet.ua.pt and hdl://10773/14733), Math. Eng. Sci. Aerosp. MESA, 6(3), 2015, 551-566.

L.P. Castro, D. Kapanadze, E. Pesetskaya: A heat conduction problem of 2D unbounded composites with imperfect contact conditions (sweet.ua.pt and hdl://10773/14594), ZAMM - Journal of Applied Mathematics and Mechanics, DOI: 10.1002/zamm.201400067, 95 (9), 2015, 952-965.

L.P. Castro, D. Kapanadze, E. Pesetskaya: Effective conductivity of a composite material with stiff imperfect contact conditions (sweet.ua.pt and hdl://10773/15009), Mathematical Methods in Applied Sciences, 38(18), 2015, 4638-4649.

L.P. Castro, M.M. Rodrigues, S. Saitoh: A fundamental theorem on initial value problems by using the theory of reproducing kernels (sweet.ua.pt and hdl://10773/13977), Complex Analysis and Operator Theory, 9(1), 2015, 87-98.

L.P. Castro, E.M. Rojas, S. Saitoh, N.M. Tuan, P.D. Tuan: Solvability of singular integral equations with rotations and degenerate kernels in the vanishing coefficient case (ria.ua.pt), Analysis and Applications, 13(1), 2015, 1-21.

L.P. Castro, A. Silva: Interplay of Wiener-Hopf and Hankel operators with almost periodic Fourier symbols on standard and variable exponent Lebesgue spaces (ria.ua.pt), Ann. Funct. Anal., 6(2), 2015, 49-59.

N. S. Papageorgiou, S. Santos, V. Staicu: Constant sign and nodal solutions for a class of nonlinear Dirichlet problems (hdl://10773/14982), Journal of Mathematical Analysis and Applications, 422, 2015, 646-666.

M.M.Rodrigues, N. Vieira: Whittaker transform on distributions (sweet.ua.pt and hdl.handle.net), Indian J. Pure Appl. Math., 46(2), 2015, 229-237.
 
Book Chapters

L.P. Castro, R. Duduchava, F.-O. Speck: Diffraction from Polygonal-Conical Screens, an Operator Approach (hdl://10773/16703 and link.springer.com), Operator Theory, Operator Algebras and Applications, A. Bastos, A. Lebre, S. Samko, L. Rodman (Eds.), Operator Theory: Advances and Applications, Vol. 242, 113-137, Birkhäuser, Basel (ISBN 978-3-0348-0815-6), 2014.

L.P. Castro, H. Fujiwara, T. Qian, S. Saitoh: How to catch smoothing properties and analyticity of functions by computers? (hdl://10773/16611 and link.springer.com), Panos Pardalos and Themistocles M. Rassias (edts), Mathematics without Boundaries: Surveys in Interdisciplinary Research, 101-116, Springer-Verlag, New York, 2014.

L.P. Castro, H. Fujiwara, M.M. Rodrigues, S. Saitoh, V.K. Tuan: Aveiro Discretization Method in Mathematics: A New Discretization Principle (hdl://10773/16630 and link.springer.com), Panos Pardalos and Themistocles M. Rassias (edts), Mathematics without Boundaries: Surveys in Pure Mathematics, 37-92, Springer-Verlag, New York, 2014.

L.P. Castro, M.M. Rodrigues, S. Saitoh: Initial Value Problems in Linear Integral Operator Equations (hdl://10773/16621 and link.springer.com), Themistocles M. Rassias and Laszlo Toth (edts.), Topics in Mathematical Analysis and Applications, 175-188, Springer Optimization and Its Applications 94, Springer-Verlag, New York, 2014.

PhD Thesis

Lirong Huang: Multiplicity results for some classes of Schrodinger-Poisson systems, University of Aveiro, July, 2014, 125 pp, [Supervisor(s): E.M. Rocha], available at hdl://10773/12867.

Papers in International Journals with referees

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Multiplicity of solutions for a class of nonlinear nonhomogeneous elliptic equations (hdl://10773/18726), J. Nonlinear Convex Anal., 15, 2014, 7-34.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Sublinear and superlinear Ambrosetti-Prodi problems for the Dirichlet p-Laplacian (hhttp://hdl.handle.net/10773/18696), Nonlinear Anal., 95, 2014, 263-280.

S. Aizicovici, N. Papageorgiou, V. Staicu: Nodal solutions for nonlinear nonhomogeneous Neumann equations (hdl://10773/18704), Topol. Methods Nonlinear Anal., 43, 2014, 421-438.

A. Almeida, P. Hästö: Interpolation in variable exponent spaces (hdl.handle.net and link.springer.com), Revista Matemática Complutense, 27, 2014, 657-676.

L.P. Castro, M.R. Haque, M.M. Murshed, S. Saitoh, N.M. Tuan: Quadratic Fourier transforms (hdl://10773/16651 and www.emis.mi.sanu.ac.rs), Ann. Funct. Anal., 5(1), 2014, 10-23.

L.P. Castro, D. Kapanadze: Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary (hdl://10773/16653 and projecteuclid.org), Communications in Mathematical Analysis, 17(2), 2014, 45-65.

L.P. Castro, D. Kapanadze: Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary (hdl://10773/16639 and onlinelibrary.wiley.com), Mathematical Methods in Applied Sciences, 37, 2014, 1412-1427.

L.P. Castro, A.S. Silva, S. Saitoh: A reproducing kernel Hilbert space constructive approximation for integral equations with Toeplitz and Hankel kernels (hdl://10773/16637 and system.lm-ns.org), Libertas Mathematica (New Series), 34(1), 2014, 1-22.

M. Dalla Riva, P. Musolino: A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach (onlinelibrary.wiley.com), Mathematical Methods in the Applied Sciences, 37, 2014, 106-122.

T. Ehrhardt, A. P. Nolasco, F.-O. Speck: A Riemann surface approach for diffraction from rational wedges (hdl.handle.net and files.ele-math.com), Operators and Matrices, 8, 2014, 301-355.

M. Otani, V. Staicu: Existence Results for Quasilinear Elliptic Equations with Multivalued Nonlinear Terms (hdl.handle.net), Set-Valued Var. Anal., 22, 2014, 859-877.

Papers in International Conference Proceedings with referees

L.P. Castro, M.M. Rodrigues, S. Saitoh: A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework (hdl://10773/16636 and dx.doi.org), American Institute of Physics, AIP – Conf. Proc, 1637, 165-170, NY, 2014.

M.M. Rodrigues: Some properties of generalized fractional integral with Lengendre functions kernels (dx.doi.org and hdl://10773/18673), American Institute of Physics, AIP – Conf. Proc, 1637, 882-888, NY, 2014.

M.M. Rodrigues and N. Vieira: An operational method to solve fractional differential equations (hdl://10773/18647 and dx.doi.org), American Institute of Physics, AIP – Conf. Proc, 1637, 1143-1152, NY, 2014.
 
Books

A. Almeida, L. P. Castro, F.-O. Speck (edts): Advances in Harmonic Analysis and Operator Theory -- The Stefan Samko Anniversary Volume (www.springer.com), Operator Theory: Advances and Applications, Vol. 229, ISBN: 978-3-0348-0515-5, VIII, 392 p, Birkhäuser, 2013.

Book Chapters

L. Huang, K. Murillo, E. M. Rocha: Existence of Solutions of a Class of Nonlinear Singular Equations in Lorentz Spaces, A. Almeida, L. P. Castro, F.-O. Speck, Advances in Harmonic Analysis and Operator Theory -- The Stefan Samko Anniversary Volume, 201-214, Birkhäuser,, Basel, 2013.

Jianqing Chen, E.M. Rocha: A Class of Sub-elliptic Equations on the Heisenberg Group and. Related Interp olation Inequalities, A. Almeida, L. P. Castro, F.-O. Speck, Advances in Harmonic Analysis and Operator Theory -- The Stefan Samko Anniversary Volume, 123-137, Birkhäuser, Basel, 2013.

M.M.Rodrigues, N. Vieira and S. Yakubovich: Operational calculus for Bessel fractional equation, A. Almeida, L.Castro and F. Speck, Advances in Harmonic Analysis and Operator Theory -- The Stefan Samko Anniversary Volume(link.springer.com), 357-370, Birkhäuser, Basel, 2013.

PhD Thesis

Kelly Murillo: Existence results for elliptic equations with singular terms, Aveiro, January, 2013, 126 pp, [Supervisor(s): Eugénio Rocha, Jianqing Chen].

Papers in International Journals with referees

S. Aizicovici, N. S. Papageorgiou, V. Staicu: On p-superlinear equations with a nonhomogeneous differential operator (hdl://10773/18698), NoDEA - Nonlinear Diff. Equations Appl., 20, 2013, 151-175.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: Nodal and multiple solutions for nonlinear periodic problems with competing nonlinearities (www.worldscientific.com), Comm. Contemp. Math, 15, n. 3, 2013, 1350001-1550030.

A. Caetano: Growth envelopes of Besov spaces on fractal h-sets (onlinelibrary.wiley.com), Mathematische Nachrichten, 286, 2013, 550-568.

A. Caetano, H.-G. Leopold: On generalized Besov and Triebel-Lizorkin spaces of regular distributions (dx.doi.org), Journal of Functional Analysis, 264, 2013, 2676-2703.

L.P. Castro, R.C. Guerra: Hyers-Ulam-Rassias stability of Volterra integral equations within weighted spaces (www.lm-ns.org), Lib. Math. (N.S.), 33(2), 2013, 5-19.

L. P. Castro, D. Kapanadze: Mixed boundary value problems of diffraction by a half-plane with a screen/crack perpendicular to the boundary (www.rmi.ge), Proc. A. Razmadze Math. Inst., 162, 2013, 121-126.

L. P. Castro, D. Kapanadze: Wave diffraction by a half-plane with an obstacle perpendicular to the boundary (www.sciencedirect.com), Journal of Differential Equations, 254, 2013, 493-510.

L. P. Castro, K. Murata, S. Saitoh, M. Yamada: Explicit integral representations of implicit functions (carpathian.ubm.ro), Carpathian Journal of Mathematics, 29(2), 2013, 141-148.

L. P. Castro, M. M. Rodrigues: The Weierstrass--Whittaker integral transform (www.emis.de), Memoirs on Differential Equations and Mathematical Physics, 60, 2013, 57-72.

L. P. Castro, S. Saitoh: Optimal and approximate solutions of singular integral equations by means of reproducing kernels (link.springer.com), Complex Analysis and Operator Theory, 7, 2013, 1839-1851.

L. P. Castro, S. Saitoh: Fractional functions and their representations (link.springer.com), Complex Analysis and Operator Theory, 7(4), 2013, 1049-1063.

L. P. Castro, A. S. Silva: Invertibility criteria for Wiener-Hopf plus Hankel operators with different almost periodic Fourier symbol matrices (link.springer.com), Annali di Matematica Pura ed Applicata. DOI 10.1007/s10231-012-0262-1, 192, 2013, 1141-1152.

M. Dalla Riva: A family of fundamental solutions of elliptic partial differential operators with real constant coefficients (link.springer.com), Integral Equations Operator Theory, 76, 2013, 1-23.

M. Dalla Riva: Stokes flow in a singularly perturbed exterior domain (www.tandfonline.com), Complex Variables and Elliptic Equations: An International Journal, 58, 2013, 231-257.

M. Dalla Riva, P. Musolino: A singularly perturbed non-ideal transmission problem and application to the effective conductivity of a periodic composite (epubs.siam.org), SIAM J. Appl. Math., 73, 2013, 24-46.

N. J. Ford, M.M. Rodrigues and N. Vieira: A numerical method for the fractional Schrödinger equation of spatial dimention two, (link.springer.com), Fractional Calculus and Applied Analysis, 16(2), 2013, 454-468.

N. J. Ford, M. M. Rodrigues, J. Xiao and Y. Yan: Numerical analysis of a two-parameter fractional telegraph equation (dx.doi.org), Journal of Computational and Applied Mathematics, 249, 2013, 95-106.

Giulio Pianigian; Giuseppe Anichini; Arrigo Cellina; Biagio Ricceri; Lucio Damascelli; Józef Myjak; Vasile Staicu: Francesco S. De Blasi remembered by close friends and colleagues (ara-as.org), Lib. Math. (N.S.), 33, 2013, 135-147.

Jianqing Chen, E.M. Rocha: Existence of solution of sub-elliptic equation on the Heisenberg group with critical growth and double singularities (http://dx.doi.org /10.7494 /OpMath.2013.33.2.237), Opuscula Mathematica, 33, 2013, 237-254.

Lirong Huang, Eugenio Rocha: A Positive Solution of a Schrödinger-Poisson System with Critical Exponent(http://www.math-res-pub.org/cma/contents/2-journals/cma/84-volume-15), Commun. Math. Anal., 15, 2013, 29-43.

Lirong Huang, Eugenio A. M. Rocha, Jianqing Chen: Positive and sign-changing. solutions of a Schr"{o}dinger-Poisson system involving a critical. nonlinearity(http://dx.doi.org/10.1016/j.jmaa.2013.05.071), Journal of Mathematical Analysis Applications, 408, 2013, 55-69.

Lirong Huang, Eugenio Rocha, Jianqing Chen: Two positive solutions of a class of Schrodinger-Poisson. system with indefinite nonlinearity. (http://www.sciencedirect.com/science/article/pii/S0022039613002659), Journal of Differential Equations, 255, 2013, 2463-2483.

W. Mai, M. Yan, T. Qian, M. Dalla Riva, S. Saitoh: A Matrix Inequality for the Inversions of the Restrictions of a Positive Definite Hermitian Matrix (dx.doi.org), Advances in Linear Algebra & Matrix Theory, 3, 2013, 55-58.

M.M.Rodrigues and N. Vieira: On Fractional Whittaker Equation and Operational Calculus (journal.ms.u-tokyo.ac.jp ), J. Math. Sci. Univ. Tokyo, 20, 2013, 127-146.

M. M. Rodrigues and S. Yakubovich: On a heat kernel for the index Whittaker transform (carpathian.ubm.ro), Carpathian Journal of Mathematics, 29(2), 2013, 231-238.

M.M.Rodrigues, N.Vieira and S.Yakubovich: A convolution operator related to the generalized Mehler-Fock and Kontorovich Lebedev transforms (link.springer.com), Results in Mathematics, 63(1), 2013, 511-528.

Sergiu Aizicovici, Nikolaos Papageorgiou, Vasile Staicu:: Nonlinear periodic problems superlinear at $+infty$ and sublinear at. $-infty$ (hdl://10773/18697), Libertas Mathematica (new series), 33, 2013, 27-56.

V. Staicu: Francesco S. De Blasi remembered by close friends and colleagues (hdl://10773/18733), Libertas Mathematica (new series), 33, 2013, 135-147.

Vasile Staicu: In memory of Professor Francesco Saverio De Blasi (hdl://10773/18856), Lib. Math. (N.S.), 33, 2013, 1-2.

Papers in International Conference Proceedings with referees

L. P. Castro, A. M. Simões: The impedance problem of wave diffraction by a strip with higher order boundary conditions (scitation.aip.org), American Institute of Physics, AIP - Conf. Proc 1561, M. D. Todorov et al, 184-193, NY, 2013.

M.M.Rodrigues: Generalized fractional integral transform with Whittaker kernel(scitation.aip.org), American Institute of Physics, AIP – Conf. Proc, 1561, M. D. Todorov et al, 196-200, NY, 2013.
 
Book Chapters

L.P. Castro, H. Fujiwara, M.M. Rodrigues, S. Saitoh: A new discretization method by means of reproducing kernels, L.H. Son, W. Tutschke, edts, Interactions between Real and Complex Analysis, 185-223, Science and Technics Publishing House, ISBN: 978-604-67-0032-6, Ministry for Science and Technology of Vietnam, Ha Noi, 2012.

L.P. Castro, H. Fujiwara, S. Saitoh, A. Yamada, M. Yamada: Fundamental Error Estimate Inequalities for the Tikhonov Regularization Using Reproducing Kernels (link.springer.com), C. Bandle, A. Gilányi, L. Losonczi, M. Plum (eds.), Inequalities and Applications, International Series of Numerical Mathematics 161, 87-101, Springer, Basel, 2012.

L.P. Castro, A.S. Silva: Wiener-Hopf-Hankel operators with piecewise continuous Fourier symbols on variable exponent Lebesgue spaces, L.H. Son, W. Tutschke, edts, Interactions between Real and Complex Analysis, 243-255, Science and Technics Publishing House, ISBN: 978-604-67-0032-6, Ministry for Science and Technology of Vietnam, Ha Noi, 2012.

A. P. Nolasco, F.-O. Speck: On some boundary value problems for the Helmholtz equation in a cone of 240º. (link.springer.com), W. Arendt, J. Ball, J. Behrndt, K.-H. Förster, V. Mehrmann, C. Trunk, Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations, 497-513, Operator Theory: Advances and Applications, Vol. 221, Birkhäuser, Basel, 2012.

Papers in International Journals with referees

S. Aizicovici, N. S. Papageorgiou and V. Staicu: Multiple solutions for superlinear p-Laplacian Neumann problems (projecteuclid.org, Osaka J. Math., 49, 2012, 699-740.

S. Aizicovici, N. S. Papageorgiou, and V. Staicu: Positive solutions for nonlinear nonhomogeneous periodic eigenvalue problems (fmi.unibuc.ro, Annals of the University of Bucharest (mathematical series) Special issue dedicated to Jean Mawhin, 3 (LXI), 2012, 129-144.

S. Aizicovici, N. S. Papageorgiou, V. Staicu: p-Laplace equations with singular terms and p-superlinear perturbation (system.lm-ns.org, Libertas Math. (new ser.), 32, 2012, 77-95.

A. Almeida, D. Drihem: Maximal, potential and singular type operators on Herz spaces with variable exponentes (www.sciencedirect.com), Journal of Mathematical Analysis and Applications, 394, 2012, 781-795.

M. Batista, L. Tomé, C. Neves, E. M. Rocha, J. Gomes, J. Coutinho: The Origin of the LCST on the Liquid–Liquid Equilibrium of Thiophene with Ionic Liquids, The Journal of Physical Chemistry B, 116(20), 2012, 5985-5992.

A. Caetano, A. Carvalho: On the Hausdorff dimension of continuous functions belonging to Hölder and Besov spaces on fractal d-sets (www.springerlink.com), Journal of Fourier Analysis and Applications, 18, 2012, 386-409.

L. P. Castro, H. Itou, S. Saitoh: Numerical solutions of linear singular integral equations by means of Tikhonov regularization and reproducing kernels (math.uh.edu), Houston Journal of Mathematics, 38(4), 2012, 1261-1276.

L. P. Castro, S. Saitoh: Natural outputs and global inputs of linear systems with a finite number of input data (www.tandfonline.com), Applicable Analysis, 91(2), 2012, 225-236.

L. P. Castro, S. Saitoh: New convolution and norm inequalities (mia.ele-math.com), Mathematical Inequalities & Applications, 15 (3), 2012, 707-716.

L.P. Castro, S. Saitoh, Y. Sawano, A.S. Silva: Discrete linear differential equations (www.degruyter.com), Analysis, 32, 2012, 181-198.

L. P. Castro, S. Saitoh, Y. Sawano, A. M. Simões: General inhomogeneous discrete linear partial differential equations with constant coefficients on the whole spaces (link.springer.com), Complex Analysis and Operator Theory, 6, 2012, 307-324.

L. P. Castro, S. Saitoh, N. M. Tuan: Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels (www.opuscula.agh.edu.pl), Opuscula Mathematica, 32 (4), 2012, 633-646.

L. P. Castro, A. S. Silva: Defect numbers of singular integral operators with Carleman shift and almost periodic coefficients (www.sciencedirect.com), Journal of Mathematical Analysis and Applications, 387, 2012, 66-76.

J. Chen, K. Murillo, E. M. Rocha: Multiplicity result for a class of elliptic equations with singular term, Nonlinear Analysis: Theory, Methods and Applications, 75, 2012, 5797-5814.

M. Dalla Riva: Energy integral of the Stokes flow in a singularly perturbed exterior domain (dx.doi.org), Opuscola Mathematica, 4, 2012, 647-659.

M. Dalla Riva, P. Musolino: Real analytic families of harmonic functions in a domain with a small hole (www.sciencedirect.com), J. Differential Equations, 252, 2012, 6337-6355.

Eugénio Rocha, Jianqing Chen, Kelly Murillo: Four solutions of an elliptic problem with double singularity (http://system.lm-ns.org/index.php/lm-ns/article/view/22), LIBERTAS MATHEMATICA (new series), 32, 2012, 169-192.

M.M. Rodrigues: Multiplicity of solutions on a nonlinear eigenvalue problems for. p(x)-Laplacian -like operators(link.springer.com), Mediterranean Journal of Mathematics, 9(1), 2012, 215-227.

S. Yakubovich and M. M. Rodrigues: Fundamental solutions of the fractional two-parameter telegraph equation(www.tandfonline.com), Integral Transforms and Special Functions, 23 (7), 2012, 509 pp.

Papers in International Conference Proceedings with referees

L. P. Castro, S. Saitoh: Applications of reproducing kernels to fractional functions and convolution inequalities, Progress in Analysis. Proceedings of the 8th Congress of the International Society for Analysis, its Applications, and Computation, Volume 1, (ed.: V.Burenkov et al.), 230-237, Moscow, Peoples' Friendship University of Russia, 2012.

L. P. Castro, A. M. Simões: Integral equation methods in problems of wave diffraction by a strip with higher order reactance conditions (scitation.aip.org), American Institute of Physics, AIP - Conf. Proc. 1493 (Ed.: S. Sivasundaram), 904-910, NY, 2012.

M.Dalla Riva, P.Musolino: dx.doi.org. Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface, , 9th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences: ICNPAA 2012, American Institute of Physics, Melville, NY, 264-268, Vienna, Austria, 2012.

T. Matsuura, S. Saitoh: Inversion formulas and numerical experiments in the wave equation by reproducing kernels and Tikhonov regularization, Progress in Analysis. Proceedings of the 8th Congress of the International Society for Analysis, its Applications, and Computation, Volume 1, (ed.: V.Burenkov et al.), 282-289, Moscow, Peoples' Friendship University of Russia, 2012.

M. M. Rodrigues and N. Vieira: Multidimensional fractional Schrödinger equation(scitation.aip.org), American Institute of Physics, AIP - Conf. Proc. 1493, (Ed.: S. Sivasundaram), 798-804, NY, 2012.
 
PhD Thesis

A.S. Silva: Regularity of Wiener-Hopf plus Hankel operators, University of Aveiro, December, 2011, 177 pp, [Supervisor(s): L.P. Castro].

A. Simões: Sommerfeld type Problems with Higher order Boundary Conditions, Universidade da Beira Interior, June, 2011, 197 pp, [Supervisor(s): L. P. Castro].

Papers in International Journals with referees

S. Aizicovici, N. S. Papageorgiou and V. Staicu: Nonlinear Resonant periodic problems with concave terms (http://www.sciencedirect.com/science/article/pii/S0022247X10007420), J. Math. Anal. Appl., 375, 2011, 342-364.

S. Aizicovici, N. S. Papageorgiou and V. Staicu: Positive solutions for nonlinear periodic problems with concave terms (http://www.sciencedirect.com/science/article/pii/S0022247X11003362), J. Math. Anal. Appl., 381, 2011, 866-883.

A. Almeida, A. Caetano: Real interpolation of generalized Besov-Hardy spaces and applications (link.springer.com), Journal of Fourier Analysis and Applications, 17, 2011, 691-719.

P.L. Butzer, P.J.S.G. Ferreira, J.R. Higgins, S. Saitoh, G. Schmeisser, R.L. Stens: Interpolation and Sampling: E.T. Whittaker, K. Ogura and Their Followers (link.springer.com), Journal of Fourier Analysis and Applications, 17, 2011, 320-354.

A. Caetano: On the type of convergence in atomic representations (www.tandfonline.com), Complex Variables and Elliptic Equations, 56, 2011, 875-883.

A. Caetano, A. Gogatishvili, B. Opic: Embeddings and the growth envelope of Besov spaces involving only slowly varying smoothness (www.sciencedirect.com), Journal of Approximation Theory, 163, 2011, 1373-1399.

A. Caetano, A. Gogatishvili, B. Opic: Compact embeddings of Besov spaces involving only slowly varying smoothness (link.springer.com), Czechoslovak Mathematical Journal, 61(136), 2011, 923-940.

A. Caetano, S. Lopes: Spectral theory for the fractal Laplacian in the context of h-sets (onlinelibrary.wiley.com), Mathematische Nachrichten, 284(1), 2011, 5-38.

A. Caetano, S. Lopes: The fractal Dirichlet Laplacian (www.springerlink.com), Revista Matemática Complutense, 24, 2011, 189-209.

A. Carvalho: Hausdorff dimension of scale-sparse Weierstrass-type functions (www.scopus.com), Fund. Math., 213, 2011, 1-13.

L. P. Castro, D. Kapanadze: Wave diffraction by a 270 degrees wedge sector with Dirichlet, Neumann and impedance boundary conditions (www.rmi.ge), Proc. A. Razmadze Math. Inst., 155, 2011, 96-99.

L. P. Castro, D. Kapanadze, R. Duduchava: Electromagnetic scattering by cylindrical orthotropic waveguide irises (www.degruyter.com), Georgian Mathematical Journal, 18, 2011, 99-120.

L. P. Castro, E. M. Rojas: On the solvability of singular integral equations with reflection on the unit circle (link.springer.com), Integral Equations and Operator Theory, 70, 2011, 63-99.

L. P. Castro, A. S. Silva: Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with piecewise almost periodic symbols (www.emis.de), Memoirs on Differential Equations and Mathematical Physics, 53, 2011, 39-62.

L. P. Castro, A. S. Silva: Semi-Fredholm theory for Wiener-Hopf-Hankel operators on Muckenhoupt weighted Lebesgue spaces (nonlinearstudies.com), Math. Eng. Sci. Aerosp. MESA, 2(4), 2011, 341-353.

T. Ehrhardt, A. P. Nolasco, F.-O. Speck: Boundary integral methods for wedge diffraction problems: the angle $2pi/n$, Dirichlet and Neumann conditions (files.ele-math.com), Operators and Matrices, 5, 2011, 1-40.

Jianqing Chen, Eugenio M. Rocha: Existence of stable standing waves and instability of. standing waves to a class of quasilinear Schrodinger. equations with potential, Dynamics of PDE, 8, 2011, 89-112.

N. S. Papageorgiou, E. M. Rocha: Existence of three nontrivial solutions for asymptotically p-linear noncoercive p-Laplacian equations, Nonlinear Analysis TMA, 74, 2011, 5314-5326.

N. S. Papageorgiou, A. I. Santos Coelho Rodrigues and V. Staicu: On resonant Neumann problems: multiplicity of solutions (http://www.sciencedirect.com/science/article/pii/S0362546X11004500), Nonlinear Analysis, 74, 2011, 6487-6498.

M.M.Rodrigues: Lyapunov inequalities for nonlinear p-Laplacian problems with. weight functions(www.m-hikari.com), International Journal of Mathematical Analysis, 5(30), 2011, 1497 -1506.

M.M.Rodrigues: Analysis of Adomian series solution to a class of nonlinear ordinary system of Raman type(eudml.org), Applied Mathematics E-Notes, 11, 2011, 50-60.

Papers in International Conference Proceedings with referees

L. P. Castro, A. Ramos: Hyers-Ulam stability for a class of Fredholm integral equations, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientific Publishers, 171-176, UK, 2011.

L. P. Castro, E. M. Rojas: Splitting property for singular integral operators with a weighted shift, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientific Publishers, 177-184, UK, 2011.

L. P. Castro, E. M. Rojas: Continuous coefficient representations for singular integral operators with shift, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientific Publishers, 185-192, UK, 2011.

L. P. Castro, A. S. Silva: Wiener-Hopf-Hankel operators with semi-almost periodic symbols on weighted Lebesgue spaces, Proceedings of the 8th International Conference of Mathematical Problems in Engineering, Aerospace and Science, Cambridge Scientific Publishers, 193-202, UK, 2011.

L. P. Castro, A. S. Silva: On the invertibility of classes of integral operators via generalized factorizations (scitation.aip.org), American Institute of Physics, AIP - Conf. Proc. 1404, M. D. Todorov et al, 242-249, NY, 2011.

J. Chen, K. Murillo, E. M. Rocha: Two nontrivial solutions of a class of elliptic equations with singular term, Dynamical Systems and Differential Equations, DCDS Supplement 2011. Proceedings of the 8th AIMS International Conference, Wei Feng et al , 272-281, Dresden (Germany), 2011.
 
Books

Dalila Almeida, Dina Seabra, Enide Martins, Isabel Brás, João Santos, Paula Oliveira: Análise Matemática: unidades teórico-práticas, Universidade de Aveiro, 2010.

Book Chapters

S. Aizicovici, N. S. Papageorgiou, and V. Staicu: S. Aizicovici, N. S. Papageorgiou, and V. Staicu -- Three nontrivial solutions for $p$-Laplacian Neumann problems with a concave nonlinearity near the origin, Arie Leizarowitz, Boris S. Mordukhovich, Itai Shafrir and Alexander J. Zaslavski, Nonlinear Analysis and Optimization I: Nonlinear Analysis, 25-43, AMS (Contemporary Mathematics series) and Bar-Ilan University, USA, 2010.

G. Bogveradze, L. P. Castro: Fredholm Characterization of Wiener-Hopf-Hankel Integral Operators with Piecewise Almost Periodic Symbols, C. Constanda et al, Integral Methods in Science and Engineering, 65-74, Birkhäuser, Boston, 2010.

L. P. Castro, A. Ramos: Hyers-Ulam and Hyers-Ulam-Rassias Stability of Volterra Integral Equations with a Delay, C. Constanda et al, Integral Methods in Science and Engineering, 85-94, Birkhäuser, Boston, 2010.

L. P. Castro, E. M. Rojas: Invertibility of Singular Integral Operators with Flip through Explicit Operator Relations, C. Constanda et al, Integral Methods in Science and Engineering, 105-114, Birkhäuser, Boston, 2010.

L. P. Castro, A. Silva: Fredholm Index Formula for a Class of Matrix Wiener-Hopf Plus and Minus Hankel Operators with Symmetry, C. Constanda et al, Integral Methods in Science and Engineering, 95-104, Birkhäuser, Boston, 2010.

PhD Thesis

E. Rojas: A Study of Singular Integral Operators with Shift, university of Aveiro, December, 2010, 182 pp, [Supervisor(s): L. P. Castro].

Papers in International Journals with referees

S.-E. Takahasi, J.M. Rassias, S. Saitoh, Y. Takahashi: Refined generalizations of the triangle inequality on Banach spaces, Math. Inequal. Appl., 13, 2010, 733-741.

S. Aizicovici, N. S. Papageorgiou and V. Staicu: Existence and multiplicity of solutions for resonant nonlinear Neumann problems, Topological Meth. Nonlinean Anal, 35, 2010, 235-252.

S. Aizicovici, N. S. Papageorgiou and V. Staicu: Multiple positive solutions for a p-Laplacian Dirichlet problem with superdiffusive reaction, Houston. J. Math, 36, 2010, 313-333.

A. Almeida, A. Caetano: Generalized Hardy spaces, Acta Mathematica Sinica (English Series), 26(9), 2010, 1673-1692.

A. Almeida, P. Hästö: Besov spaces with variable smoothness and integrability, Journal of Functional Analysis, 258(5), 2010, 1628-1655.

L. P. Castro, Q. Chen, S. Saitoh: Source Inversion of Heat Conduction from a Finite Number of Observation Data, Applicable Analysis, 89, 2010, 801-813.

L. P. Castro, D. Kapanadze: Exterior Wedge Diffraction Problems with Dirichlet, Neumann and Impedance Boundary Conditions, Acta Appl. Math., 110, 2010, 289-311.

L. P. Castro, E. Pesetskaya: A Transmission Problem with Imperfect Contact for an Unbounded Multiply Connected Domain, Mathematical Methods in the Applied Sciences, 33, 2010, 517-526.

L. P. Castro, E. M. Rojas: Explicit solutions of Cauchy singular integral equations with weighted Carleman shift, Journal of Mathematical Analysis and Applications, 371, 2010, 128-133.

L. P. Castro, E. M. Rojas: Moore-Penrose invertibility of singular integral operators with Carleman shift, Bull. Greek Math. Soc., 57, 2010, 83-97.

L. P. Castro, E.M. Rojas, S. Saitoh: Inversion from different kinds of information and real inversion formulas of the Laplace transform from a finite number of data, Math. Eng. Sci. Aerosp. MESA, 1, 2010, 181-190.

L. P. Castro, A. S. Silva: Fredholm Property of Matrix Wiener-Hopf plus and minus Hankel Operators with Semi-Almost Periodic Symbols, Cubo, 12, 2010, 217-234.

L. P. Castro, A. S. Silva: Fredholm property of matrix Wiener-Hopf plus and minus Hankel operators with piecewise almost periodic symbols, Bull. Greek Math. Soc., 57, 2010, 99-113.

J. Chen, N. S. Papageorgiou, E. M. Rocha: Twin positive solutions for singular nonlinear elliptic equations, Topological Methods in Nonlinear Analysis, 35(1), 2010, 187-201.

J. Chen, E. M. Rocha: Sharp constant for a 2D anisotropic Sobolev inequality with critical nonlinearity, Journal of Mathematical Analysis and Applications, 367(2), 2010, 685-692.

J. Chen, E. M. Rocha: Positive solutions for elliptic problems with critical nonlinearity and combined singularity, Mathematica Bohemica, 135:4, 2010, 413-422.

K. Iwamura, T. Matsuura, S. Saitoh: A numerical construction of a natural inverse of any matrix by using the theory of reproducing kernels with the Tikhonov regularization, Far East J. Math. Edu., 4, 2010, 141-149.

T. Matsuura1, S. Saitoh: Integral and Direct Representations of Nonlinear Inverse Mapping, Applied Mechanics and Materials, 36, 2010, 476-484.

N. S. Papageorgiou, S. R. Andrade Santos and V. Staicu: Nontrivial solutions for nonvariational quasilinear Neumann problems, Topological Meth. Nonlinear Anal., 36, 2010, 39-60.

N. S. Papageorgiou and V. Staicu: Multiple nontrivial solutions for doubly resonant periodic problems, Canadian Mathematical Bulletin, 53, 2010, 347-359.

N. S. Papageorgiou, E. Rocha and V. Staicu: On the existence of three nontrivial smooth solutions for nonlinear elliptic equations, J. Nonlinear and Convex Analysis, 11, 2010, 115-136.

E. M. Rocha and M. M. Rodrigues: On Approximate Solutions to the Wavefront Speed of Reaction-Diffusion-Convection Problem in Nonuniform Media, Asymptotic Analysis, 66(1), 2010, 9 pp.

M.M. Rodrigues and E.M. Rocha: The convergence analysis of the decomposition method for the (1+1)-parabolic problem in nonuniform media, Acta Applicanda Mathematicae, 112 (3), 2010, 299-308.

S. Saitoh: Theory of Reproducing Kernels: Applications to Approximate Solutions of. Bounded Linear Operator Equations on Hilbert Spaces, American Mathematical Society Translations, Series 2, 230, 2010, 107-134.

Y. Sawano, M. Yamada, S. Saitoh: Singular integral inequalities and natural regularizations, Math. Inequal. Appl., 13, 2010, 289-303.

Papers in International Conference Proceedings with referees

L. P. Castro, E. M. Rojas: Bounds for the Kernel Dimension of Singular Integral Operators with Carleman Shift, American Institute of Physics, AIP - Conf. Proc. 1301, M. D. Todorov et al, 68-76, NY, 2010.

L. P. Castro, A. S. Silva: Wiener-Hopf plus Hankel Operators with Almost Periodic Symbols on Weighted Lebesgue Spaces, American Institute of Physics, AIP - Conf. Proc. 1301, M. D. Todorov et al, 77-84, NY, 2010.

L. P. Castro, A. M. Simões: On the Solvability of a Problem of Wave Diffraction by a Union of a Strip and a Half-Plane, American Institute of Physics, AIP - Conf. Proc. 1301, M. D. Todorov et al, 85-96, NY, 2010.

M. Yamada, S. Saitoh: Explicit and direct representations of the solutions of nonlinear simultaneous equations, Progress in Analysis and its Applications,. Proceedings of the 7th International ISAAC Congress, World Scientific, M. Ruzhansky and J. Wirth, 372-378, London, 2010.
 

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