Solvability of nonlinear integral equations of Volterra type
type: Item
instance of: scholarly article
title: Solvability of nonlinear integral equations of Volterra type
zbMATH Open document ID: 1259.45006
DOI: 10.1155/2012/932019
author: Sunhong Lee
author: Zeqing Liu
author: Shin Min Kang
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral equation of Volterra type. The main tools used in the proofs are some techniques in analysis and the Darbo fixed point theorem via measures of noncompactness. The results obtained in this paper extend and improve essentially some known results in the recent literature. Two nontrivial examples that explain the generalizations and applications of our results are also included.
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H08
zbMATH DE Number: 6134197
zbMATH Keywords: continuous bounded solutions
zbMATH Keywords: nonlinear integral equation of Volterra type
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Darbo fixed point theorem
zbMATH Keywords: measures of noncompactness
MaRDI profile type: Publication
Wikidata QID: Q58697115
full work available at URL: https://doi.org/10.1155/2012/932019
OpenAlex ID: W2136649179
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description: scientific article; zbMATH DE number 6134197