Positive solutions for a system of nonlinear Hammerstein integral equations and applications

DOI10.1216/JIE-2012-24-1-131zbMath1238.45005MaRDI QIDQ5920244

Jiafa Xu, Zhilin Yang

Publication date: 18 April 2012

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1333560452

zbMATH Keywords

positive solutionfixed point indexconcave functionsystem of nonlinear Hammerstein integral equations\(n\)th order boundary value problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Degree theory for nonlinear operators (47H11) Systems of nonlinear integral equations (45G15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Positive solutions of integral equations (45M20)

Related Items (10)

Coercive nonlocal elements in fractional differential equations ⋮ Coercive functionals and their relationship to multiplicity of solution to nonlocal boundary value problems ⋮ The effect of a nonstandard cone on existence theorem applicability in nonlocal boundary value problems ⋮ A new coercivity condition applied to semipositone integral equations with nonpositive, unbounded nonlinearities and applications to nonlocal BVPs ⋮ Radially symmetric solutions of elliptic PDEs with uniformly negative weight ⋮ Approximation methods for system of nonlinear Fredholm-Hammerstein integral equations ⋮ Perturbed Hammerstein integral equations with sign-changing kernels and applications to nonlocal boundary value problems and elliptic PDEs ⋮ Coupled systems of Hammerstein-type integral equations with sign-changing kernels ⋮ A note on perturbed Hammerstein equations with applications to nonlocal boundary value problems ⋮ On coupled systems of Hammerstein integral equations

Cites Work

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• Constant-sign solutions for systems of singular integral equations of Hammerstein type
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• Positive solvability of systems of nonlinear Hammerstein integral equations
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