Positive solutions of Volterra integral equations using integral inequalities
type: Item
instance of: scholarly article
title: Positive solutions of Volterra integral equations using integral inequalities
zbMATH Open document ID: 1007.45002
DOI: 10.1155/S1025583402000140
author: Maria Meehan
author: Donal O'Regan
published in: Journal of Inequalities and Applications
publication date: 2003-03-20T00:00:00Z
review text: The authors discuss the existence of positive solutions of certain special cases of the possible singular integral equation \[ y(t)= \int^t_0 k(t, s)[f(y(s))+ g(y(s))] ds,\quad t\in [0,T]. \] They assume that \(f: [0,\infty)\to [0,\infty)\) is continuous and nondecreasing, \(g: [0,\infty)\to [0,\infty)\) is continuous, nonincreasing and possibly singular. For the proof of results in this the authors use the Krasnoselskij's fixed point theorem.
reviewed by: Ulrich Kosel
Mathematics Subject Classification ID: 45G05
Mathematics Subject Classification ID: 45M20
zbMATH DE Number: 1820058
zbMATH Keywords: positive solutions
zbMATH Keywords: Volterra integral equations
zbMATH Keywords: integral inequalities
zbMATH Keywords: singular integral equation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1820058