On a nonlinear Hammerstein integral equation with a parameter

DOI10.1016/J.NA.2008.07.038zbMath1211.45005OpenAlexW2093286507MaRDI QIDQ1015824

Xi-Lan Liu

Publication date: 30 April 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.07.038

zbMATH Keywords

critical point theorymultiplicity of solutionsSchaefer fixed point theoremnonlinear Hammerstein integral equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Discrete version of topics in analysis (39A12)

Related Items (1)

On the existence of the solution of Hammerstein integral equations and fractional differential equations

Cites Work

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• Multiple eigenvalues for singular Hammerstein integral equations with applications to boundary value problems
• Existence of solutions to nonlinear Hammerstein integral equations and applications
• Existence of three periodic positive solutions for a class of integral equations with parameters
• Extension of the Leray-Schauder degree for abstract Hammerstein type mappings
• On a three critical points theorem
• On Hammerstein equations with natural growth conditions
• Solutions of Hammerstein integral equations via a variational principle
• Über die Methode der a priori-Schranken
• Existence of three solutions for a class of elliptic eigenvalue problems

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