Nonlinear Analysis and Boundary Value Problems

This book is devoted to Prof. Juan J. Nieto, on the occasion of his 60th birthday. Juan José Nieto Roig (born 1958, A Coruña) is a Spanish mathematician, who has been a Professor of Mathematical Analysis at the University of Santiago de Compostela since 1991. His most influential contributions to date are in the area of differential equations. Nieto received his degree in Mathematics from the University of Santiago de Compostela in 1980. He was then awarded a Fulbright scholarship and moved to the University of Texas at Arlington where he worked with Professor V. Lakshmikantham. He received his Ph.D. in Mathematics from the University of Santiago de Compostela in 1983. Nieto's work may be considered to fall within the ambit of differential equations, and his research interests include fractional calculus, fuzzy equations and epidemiological models. He is one of the world's most cited mathematicians according to Web of Knowledge, and appears in the Thompson Reuters Highly Cited Researchers list. Nieto has also occupied different positions at the University of Santiago de Compostela, such as Dean of Mathematics and Director of the Mathematical Institute. He has also served as an editor for various mathematical journals, and was the editor-in-chief of the journal Nonlinear Analysis: Real World Applications from 2009 to 2012. In 2016, Nieto was admitted as a Fellow of the Royal Galician Academy of Sciences. This book consists of contributions presented at the International Conference on Nonlinear Analysis and Boundary Value Problems, held in Santiago de Compostela, Spain, 4th-7th September 2018. Covering a variety of topics linked to Nieto's scientific work, ranging from differential, difference and fractional equations to epidemiological models and dynamical systems and their applications, it is primarily intended for researchers involved in nonlinear analysis and boundary value problems in a broad sense.

Auteur

Iván Area is an Associate Professor at the Universidade de Vigo, Spain. He has published over 100 articles related to orthogonal polynomials and special functions in leading international journals. His recent research has focused on fractional analysis and bioinformatics. He is also the General Secretary of the International Center for Pure and Applied Mathematics (CIMPA), a nonprofit organization whose aim is to promote mathematics in developing countries.

Alberto Cabada is a Professor at the University of Santiago de Compostela, Spain. His research is devoted to nonlinear differential equations and mainly focuses on the study of both quantitative and qualitative properties of the so-called Green's functions. He has authored more than 160 research articles indexed in JCR and three monographs. He has been the head of the Department of Mathematical Analysis and the Institute of Mathematics of the University of Santiago de Compostela.

José Ángel Cid is an Associate Professor at the University of Vigo, Spain. His main research field is qualitative analysis for ordinary differential equations, including issues such as existence, uniqueness, multiplicity and stability of the solutions. He has published about 50 scientific papers in respected international journals and coauthored two books.

Daniel Franco is a Professor at UNED (Universidad Nacional de Educación a Distancia), Spain. His research interests are related to discrete dynamical systems and their applications in population dynamics, and he has also done research on boundary value problems. He has published more than 50 scientific papers in international journals on those topics.

Rodrigo López Pouso is an Associate Professor at the Universidade de Santiago de Compostela, Spain. His research interests include discontinuous differential equations, boundary value problems, and classical real analysis. He is author or coauthor of more than 50 papers published in high-impact journals.

Eduardo Liz is a Professor at the University of Vigo, Spain. His research is focused on the global dynamics of functional differential equations and difference equations, particularly their applications in mathematical biology. Professor Liz has been the leader of 9 national and international research projects since 1998, has published about 90 scientific papers in international journals, and has delivered more than 30 invited and plenary talks at international conferences.

Rosana Rodríguez López is working at the Department of Statistics, Mathematical Analysis and Optimization, University of Santiago de Compostela, where she is a member of the research group on Nonlinear Differential Equations. Her research activities are mainly devoted to the study of the properties of the solutions to nonlinear problems, with a particular focus on boundary value problems. She has published, as author or coauthor, around 80 research articles on these and other related topics. She has been the head of the Department of Mathematical Analysis and is currently the vice dean of the Faculty of Mathematics at USC.

Contenu

R. Precu, A Variational Analogue of Krasnoselskii's Cone Fixed Point Theory.- A. Cernea, Differentiability properties of solutions of a second-order evolution inclusion.- A. Pumariño, J. A. Rodríguez and E. Vigil, How to analytically prove the existence of strange attractors using measure theory.- V. Fedorov, A. Avilovich and Lidiya Borel, Initial Problems for Semilinear Degenerate Evolution Equations of Fractional Order in the Sectorial Case.- F. Minhós and I. Coxe: Solvability for nth order coupled systems with full nonlinearities.- M. V. Plekhanov and G. D. Baybulatova, Semilinear Equations in Banach Spaces with Lower Fractional Derivatives.- B. B. Amma, S. Melliani and L. S. Chadli, Integral Boundary Value Problem for Intuitionistic Fuzzy Partial Hyperbolic Differential Equations.- J. S. Cánovas, On the periodic Ricker equation.- O. Rozanova and M. Turzynsky, The stability of vortices in gas on the $l$-plane: the influence of centrifugal force.- A. Cabada and K. Maazouz, Results for Fractional Differential Equations with Integral Boundary Conditions Involving the Hadamard Derivative.- F. J. Fernández, L. J. Álvarez-Vazquez and A. Martinez, A nonlinear problem related to artificial circulation in a lake.- J. Kadlec and P. Neesal, The Fuík spectrum as two regular curves.- P. Tomiczek, Duffing equation with nonlinearities between eigenvalues.- S. Buedo-Fernández, D. C. Labora and R. Rodríguez-López, Comparison and uniqueness results for the periodic boundary value problem for linear first-order differential equations subject to a functional perturbation.- G.M Bahaa and D. F. M. Torres, Time-Fractional Optimal Control of Initial Value Problems on Time Scales.- A. Cabada and L. López-Somoza, Relationship between Green's functions for even order linear boundary value problems.- A. Moulay and A. Ouahab, Random evolution equations with bounded fractional integral-feedback.