Existence results for singular integral equations of Fredholm type
type: Item
instance of: scholarly article
title: Existence results for singular integral equations of Fredholm type
zbMATH Open document ID: 0973.45002
DOI: 10.1016/S0893-9659(99)00161-5
author: Ravi P. Agarwal
author: Donal O'Regan
published in: Applied Mathematics Letters
publication date: 2000-04-09T00:00:00Z
review text: The authors first prove the existence of one (or more) nonnegative solutions to the nonlinear singular integral equation \[ y(t)=\theta(t)+\int^1_0 k(t,s)[g(y(s))+h(y(s))]ds \] where \(g>0\) and \(t\in [0,1]\). Next, an illustrative example is given. Finally, the authors discuss the nonsingular case \(g=0\) of the above equation.
Mathematics Subject Classification ID: 45G05
zbMATH DE Number: 1428502
zbMATH Keywords: existence
zbMATH Keywords: nonnegative solutions
zbMATH Keywords: nonlinear singular integral equation
reviewed by: K. C. Gupta
MaRDI profile type: Publication
cites work: Existence of solutions to singular integral equations
cites work: Q4253594
cites work: Positive solutions to certain classes of singular nonlinear second order boundary value problems
cites work: Existence principles for nonlinear resonant operator and integral equations
cites work: Multiple nonnegative solutions of nonlinear integral equations on compact and semi-infinite intervals
cites work: Q3997912
cites work: Singular nonlinear boundary value problems for higher order ordinary differential equations
description: scientific article; zbMATH DE number 1428502