Generalized Hammerstein equations and applications

DOI10.1007/s00025-016-0615-yzbMath1371.45008OpenAlexW2534200254MaRDI QIDQ2406993

Feliz Manuel Minhós, Lingju Kong, John R. Graef

Publication date: 4 October 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-016-0615-y

zbMATH Keywords

boundary value problemsHammerstein integral equationdiscontinuous kernelsKrasnosel'skiĭ-Guo theoremnonlinearities depending on derivatives

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items

Existence and multiplicity results for some generalized Hammerstein equations with a parameter ⋮ Existence of solutions of nonlinear systems subject to arbitrary linear non-local boundary conditions ⋮ Positive solutions to a third order nonlocal boundary value problem with a parameter ⋮ Existence, non-existence and multiplicity results for a third order eigenvalue three-point boundary value problem ⋮ Existence of solutions of semilinear systems with gradient dependence via eigenvalue criteria ⋮ Coupled systems of Hammerstein-type integral equations with sign-changing kernels ⋮ On coupled systems of Hammerstein integral equations

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