Multiplicity results to nonlinear Hammerstein integral equations and applications
type: Item
instance of: scholarly article
title: Multiplicity results to nonlinear Hammerstein integral equations and applications
zbMATH Open document ID: 1475.45009
author: Abdeljabbar Ghanmi
author: Samah Horrigue
author: Ziheng Zhang
published in: Journal of Integral Equations and Applications
publication date: 2021-09-08T00:00:00Z
review text: Let \(I\) be a real interval, \(f\) and \(h\) be positive continuous functions on \(I\) satisfying certain assumptions and \(G\) be a function defined on \(I^2\). The purpose of the authors is to show that for \(t\in I\), the equation \[\displaystyle u(t)=\int_0^\omega G(t,s)h(s)f(u(s))ds\] has at least three solutions such that \(\omega=1\) if \(I=[0,1]\) and \(\omega=\infty\) if \(I=[0,\infty)\). The proof is based on the Leggett-Williams fixed point theorem.
reviewed by: Mohammed El Aïdi
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45P05
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7392382
zbMATH Keywords: fixed points theorem
zbMATH Keywords: half-line
zbMATH Keywords: multiple positive solutions
zbMATH Keywords: operator equations
MaRDI profile type: Publication
full work available at URL: jie.2021.33.237
OpenAlex ID: W3197902371
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DOI: 10.1216/JIE.2021.33.237
description: scientific article; zbMATH DE number 7392382