Singular integral equations and applications to nonlinear conjugate problems
type: Item
instance of: scholarly article
title: Singular integral equations and applications to nonlinear conjugate problems
zbMATH Open document ID: 1207.45007
author: Jifeng Chu
author: Donal O'Regan
published in: Taiwanese Journal of Mathematics
publication date: 2010-09-20T00:00:00Z
review text: The existence of multiple positive solutions for singular integral equations of the form \[ x(t)= \int^1_0 G(t,s) f(s, x(s)+ \gamma(s))\,ds\quad (t\in [0,1]) \] is established with help of a nonlinear Leray-Schauder alternative and a fixed point theorem in a cone. An application to higher-order nonlinear singular conjugate boundary value problems is provided.
reviewed by: Józef Banaś
Mathematics Subject Classification ID: 45G05
Mathematics Subject Classification ID: 30E25
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 45M20
zbMATH DE Number: 5788288
zbMATH Keywords: multiple positive solutions
zbMATH Keywords: singular integral equations
zbMATH Keywords: nonlinear Leray-Schauder alternative
zbMATH Keywords: fixed point theorem
zbMATH Keywords: cone
zbMATH Keywords: nonlinear singular conjugate boundary value problems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500405792
OpenAlex ID: W4249281021
DOI: 10.11650/TWJM/1500405792
description: scientific article; zbMATH DE number 5788288