On the existence of asymptotically stable solutions of certain integral equations
type: Item
instance of: scholarly article
title: On the existence of asymptotically stable solutions of certain integral equations
zbMATH Open document ID: 1110.45004
author: Cezar Avramescu
author: Cristian Vladimirescu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2007-01-11T00:00:00Z
review text: The authors prove two existence results of asymptotically stable solutions of two classes of integral equations. The proofs are based upon a fixed point theorem for the sum of a completely continuous and a contraction operators.
reviewed by: Mouffak Benchohra
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 5115310
zbMATH Keywords: nonlinear integral equations
zbMATH Keywords: Fréchet space
zbMATH Keywords: fixed points
zbMATH Keywords: completely continuous operator
zbMATH Keywords: asymptotic stability
zbMATH Keywords: contraction operators
MaRDI profile type: Publication
full work available at URL: j.na.2005.11.041
OpenAlex ID: W2084860112
cites work: Sur l'existence des solutions convergentes des systèmes d'équations différentielles non linéaires
cites work: An application of a measure of noncompactness in the study of asymptotic stability
cites work: Fixed points and stability of an integral equation: nonuniqueness.
cites work: Q4716265
cites work: A generic view on the theorems of Brouwer and Schauder
cites work: Q4271322
DOI: 10.1016/J.NA.2005.11.041
description: scientific article; zbMATH DE number 5115310