Sur un problème de perturbation singulière (I): Elasticité.
Este trabajo está consagrado al estudio de un problema de perturbación singular que aparece en la teoría de la elasticidad.
Sur un problème de perturbation singulière (II): Elasticité.
Este artículo es continuación de (I). Está consagrado al estudio de un problema de perturbación singular proveniente de la teoría de la elasticidad.
Surjectivity and boundary value problems
Surjectivity of an operator
Surjectivity results for nonlinear mappings without oddness conditions
Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form , where is invertible, and satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently studied...
Symmetric equilibria for a beam with a nonlinear elastic foundation.
Symmetric positive solutions for nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition.
System of differential equations with unstable turning point and multiple element of spectrum of degenerate operator
System of fractional differential equations with Erdélyi-Kober fractional integral conditions
In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.
Systems of differential inclusions in the absence of maximum principles and growth conditions
This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to systems of...
Systems of orthogonal polynomials defined by hypergeometric type equations.
Systems of singular BVPs - existence of solutions and their properties
We discuss the existence and properties of solutions for systems of singular second-order ODEs in both sublinear and superlinear cases. Our approach is based on the variational method enriched by some topological ideas. We also investigate the continuous dependence of solutions on functional parameters.