Applied Mathematics

Applied Mathematics is an open access, peer-reviewed scientific journal that publishes original articles, critical reviews, research notes, debate and short reports in all areas of applied mathematics.

Feliz Minhós

Editorial Board Member of Applied Mathematics

Professor, Departament of Mathematics, School of Sciences and Technology, University of Évora, Portugal

Research Areas

Differential Equations

Education

2010Habilitation degreeUniversidade de Évora, Portugal
2002Ph.DMathematic, Universidade de Évora, Portugal

Experience

2011-2012Director of the Doctoral Program in Mathematics, University of Évora
2011-2012Director of the Master Program in Mathematics and Applications, University of Évora
2009-2011Coordinator of the research group Differential Equations and Optimization of the Research Centre in Mathematic and Applications of the University of Évora (CIMA-UE), Portugal
2007-2009Vice-President of the Research Centre in Mathematic and Applications of the University of Évora (CIMA-UE), Portugal
2003-2005President of the Department of Mathematics, University of Évora, Portugal
2002-presentProfessor in the Department of Mathematic of University of Évora, Portugal
1989-presentMember of the Department of Mathematic of University of Évora, Portugal

Membership

Member of the Portuguese Mathematical Society and American Mathematical Society

Publications: Journals

[1]  M. R. Grossinho, Feliz Minhós, Upper and Lower Solutions for Higher Order Boundary Value Problems, Nonlinear Studies, Vol. 12, nº 2 (2005) 165-176.
[2]  A. Cabada, M. R. Grossinho, Feliz Minhós, Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order, Nonlinear Anal., Vol. 62 (2005) 1109-1121.
[3]  M. R. Grossinho, Feliz Minhós, A. I. Santos, Solvability of some third order boundary value problems with asymmetric unbounded nonlinearities, Nonlinear Anal., Vol. 62 (2005) 1235-1250.
[4]  M. R. Grossinho, Feliz Minhós, A. I. Santos, Existence result for a third order O.D.E. with nonlinear boundary conditions in presence of a sign-type Nagumo control, J. Math. Anal. Appl., Vol. 309 (2005) 271-283.
[5]  Feliz Minhós, T. Gyulov, A. I. Santos, Existence and location result for a fourth order boundary value problem, Discrete Contin. Dyn. Syst. 2005, suppl., 662-671.
[6]  M. R. Grossinho, Feliz Minhós, A. I. Santos, A third order boundary value problem with one-sided Nagumo condition, Nonlinear Anal., Vol. 63 (2005) e247-e256.
[7]  A. Cabada, Feliz Minhós, A. I. Santos, Solvability for a third order discontinuous fully equation with functional boundary conditions J. Math. Anal. Appl., Vol. 322 (2006) 735-748.
[8]  Feliz Minhós, Existence, nonexistence and multiplicity results for some beam equations, Differential Equations, Chaos and Variational Problems, Ed. V. Staicu, Progress in Nonlinear Differential Equations and Their Applications, Vol. 75, 245–255, Birkhauser Verlag Basel/Switzerland, 2007, ISBN: 978-3-7643-8481-4.
[9]  Feliz Minhós, On some third order nonlinear boundary value problems: existence, location and multiplicity results, J. Math. Anal. Appl., Vol. 339/2 (2008) 1342-1353.
[10]  A. Cabada, Feliz Minhós, Fully nonlinear fourth order equations with functional boundary conditions, J. Math. Anal. Appl., Vol. 340/1 (2008) 239-251.
[11]  Feliz Minhós, A. I. Santos, Higher Order Two-Point Boundary Value Problems with Asymmetric Growth, Discrete Contin. Dyn. Syst., Series S, Vol. 1, nº 1 (2008) 127-137.
[12]  A. Cabada, R. Pouso, Feliz Minhós, Extremal solutions to fourth-order functional boundary value problems including multipoint condition. Nonlinear Anal.: Real World Appl., 10 (2009) 2157–2170
[13]  M. R. Grossinho, Feliz Minhós, A. I. Santos, A note on a class of problems for a higher order fully nonlinear equation under one sided Nagumo type condition, Nonlinear Anal., 70 (2009) 4027–4038.
[14]  J. A. Cid, D. Franco, Feliz Minhós, Positive solutions for hinged beam equations via a fixed point theorem, Bull. Lond. Math. Soc. 41 (2009), nº 1, 72–78.
[15]  Feliz Minhós, T. Gyulov, A. I. Santos, Lower and upper solutions for a fully nonlinear beam equations, Nonlinear Anal., 71 (2009) 281–292.
[16]  J. Fialho, Feliz Minhós, Existence and location results for hinged beams with unbounded nonlinearities, Nonlinear Anal., 71 (2009) e1519-e1525
[17]  D. Anderson, Feliz Minhós, A discrete fourth-order Lidstone problem with parameters, Applied Mathematics and Computation, 214 (2009) 523–533.
[18]  D. Anderson, Feliz Minhós; Existence of positive solutions for a fourth-order multi-point beam problem on measure chains, Electron. J. Diff. Eqns., Vol. 2009, No. 98, pp. 1-10.
[19]  Feliz Minhós, J. Fialho, On the solvability of some fourth-order equations with functional boundary conditions, Discrete Contin. Dyn. Syst., 2009, suppl., 564–573.
[20]  J. Graef, L. Kong, Feliz Minhós, Higher order boundary value problems with Φ-Laplacian and functional boundary conditions, Computers and Mathematics with Applications, 61 (2011) 236–249.
[21]  J. Graef, L. Kong, Feliz Minhós, Higher order functional boundary value problems: existence and location results, Acta Scientiarum Mathematicarum (Szeged), 77 (2011), 87–100
[22]  J. Graef, L. Kong, Feliz Minhós, Higher order -Laplacian BVP with generalized Sturm-Liouville boundary conditions, Differ. Equ.Dyn.Syst. 18(4) (2010) 373–383.
[23]  Feliz Minhós, Existence of extremal solutions for some fourth order functional BVPs (To appear in Communications in Applied Analysis)
[24]  J. Graef, L. Kong, Feliz Minhós, J. Fialho, On lower and upper solutions method for higher order functional boundary value problems, Applicable Analysis and Discrete Mathematics, vol. 5, nº 1 (2011) 133-146.
[25]  Feliz Minhós, Periodic solutions for some fully nonlinear fourth order differential equations (To appear in Discrete Contin. Dyn. Syst., 2011, suppl)
[26]  A. Cabada, J. Fialho, Feliz Minhós, Non ordered lower and upper solutions to fourth order functional BVP (To appear in Discrete Contin. Dyn. Syst., 2011, suppl)

Publications: Conferences/Workshops/Symposiums

[1]  Feliz Minhós, T. Gyulov, A. I. Santos, On an elastic beam fully equation with nonlinear boundary conditions, Proceedings of Conference on Differential & Difference Equations and Applications, Ed. R. Agarwal and K. Perera, Hindawi Publishing Corporation, 805-814, 2006, ISBN: 977-5945-380.
[2]  Feliz Minhós, T. Gyulov, A. I. Santos, A fourth order BVP of Sturm-Liouville type with asymmetric unbounded nonlinearities, Proceedings of Conference on Differential & Difference Equations and Applications, Ed. R. Agarwal and K. Perera, Hindawi Publishing Corporation, 795-804, 2006, ISBN: 977-5945-380.
[3]  Feliz Minhós, T. Gyulov, A. I. Santos, Existence and location results for the bending of an elastic beam, Proceedings Equadiff 11, Eds.: M. Fila, A. Handlovicova, K. Mikula, M. Medved, P.Quittner and D. Sevcovic, 273-282, 2007, ISBN 978-80-227-2624-5.
[4]  Feliz Minhós, J. Fialho, Ambrosetti-Prodi type results to fourth order nonlinear fully differential equations, Proceedings of Dynamic Systems and Applications, Vol. 5, 325-332, Dynamic Publishers, Inc., USA, 2008.
[5]  Feliz Minhós, Periodic third order problems: existence and location results, Proc. of the 6th International Conference On Differential Equations and Dynamical Systems (2009) 122-126, DCDIS A Suppl., Watam Press.
[6]  M. R. Grossinho, Feliz Minhós, A. I. Santos, Higher order two-point nonlinear boundary value problems with sigh-type conditions, International Conference on Boundary Value Problems:
[7]  Mathematical Models in Engineering, Biology and Medicine, American Institute of Physics Conference Proceedings, Vol. 1124, 195-206, 2009, ISBN: 978-0-7354-0660-5.
[8]  Feliz Minhós, Location results: an under used tool in higher order boundary value problems, International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine, American Institute of Physics Conference Proceedings, Vol. 1124, 244-252, 2009, ISBN: 978-0-7354-0660-5