Existence and estimate of solutions of some nonlinear Volterra difference equations in Hilbert spaces
type: Item
instance of: scholarly article
title: Existence and estimate of solutions of some nonlinear Volterra difference equations in Hilbert spaces
zbMATH Open document ID: 1076.39006
author: Cristóbal González
author: Antonio Jiménez-Melado
author: María Lorente
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-21T00:00:00Z
review text: Sufficient conditions for the existence of bounded solutions for Volterra difference equations \[ x_n- f_n= -\sum^n_{k=0} a_{n-k} G_k(x_k) \] are obtained where \(\langle x- c_n, G_n(x)\rangle\geq 0\;\forall x\in X\).
reviewed by: B. M. Agrawal
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 2159773
zbMATH Keywords: nonlinear Volterra difference equation
zbMATH Keywords: Hilbert spaces
zbMATH Keywords: bounded solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.10.015
OpenAlex ID: W2046090854
cites work: Q4942162
cites work: On the existence of positive solutions of higher order difference equations
cites work: A Bolzano's theorem in the new millennium
cites work: A survey: stability and boundedness of Volterra difference equations
cites work: Estimate of solutions for some Volterra difference equations
cites work: Estimation of the solutions of Volterra difference equations
DOI: 10.1016/J.JMAA.2004.10.015
Recommended article: Existence and boundedness of solutions for nonlinear Volterra difference equations in Banach spaces
Recommended article: Q4829166
Recommended article: On nonlinear Volterra equations in Hilbert spaces
Recommended article: Q4301718
Recommended article: Estimate of solutions for some Volterra difference equations
Recommended article: Nonlinear Volterra difference equations in space \(l^p\)
Recommended article: Existence of positive solutions of systems of Volterra nonlinear difference equations
Recommended article: On the existence of the solutions for some nonlinear Volterra integral equations
Recommended article: Q4704342
Recommended article: Existence of solution for nonlinear Volterra integral equations
description: scientific article; zbMATH DE number 2159773