Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence

DOI10.1007/S00009-017-1044-1zbMath1390.45020arXiv1704.05152OpenAlexW2609023499MaRDI QIDQ1693394

Gennaro Infante, Feliz Manuel Minhós

Publication date: 31 January 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05152

zbMATH Keywords

conefixed point indexnontrivial solutionsderivative dependence

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Systems of nonlinear integral equations (45G15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (11)

Existence and multiplicity results for some generalized Hammerstein equations with a parameter ⋮ Existence of positive solutions of a Hammerstein integral equation using the layered compression-expansion fixed point theorem ⋮ Harnack type inequalities and multiple solutions in cones of nonlinear problems ⋮ Positive solutions to a third order nonlocal boundary value problem with a parameter ⋮ Multiplicity results for operator systems via fixed point index ⋮ Existence of solutions of semilinear systems with gradient dependence via eigenvalue criteria ⋮ Semilinear elliptic systems with dependence on the gradient ⋮ Coupled systems of Hammerstein-type integral equations with sign-changing kernels ⋮ A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications ⋮ On coupled systems of Hammerstein integral equations ⋮ Positive solutions for a second-order nonlinear coupled system with derivative dependence subject to coupled Stieltjes integral boundary conditions

Cites Work

• Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
• Three-point boundary value problems with solutions that change sign
• On the solvability of third-order three point systems of differential equations with dependence on the first derivative
• Existence of positive solutions for nonlinear third-order three-point boundary value problems
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• THREE POSITIVE SOLUTIONS FOR A CLASS OF ELLIPTIC SYSTEMS IN ANNULAR DOMAINS
• Multiple positive solutions of Hammerstein integral equations with singularities
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