Stability for linear Volterra difference equations in Banach spaces
type: Item
instance of: scholarly article
title: Stability for linear Volterra difference equations in Banach spaces
zbMATH Open document ID: 1470.39037
DOI: 10.1155/2018/3905632
author: Rigoberto Medina
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: This paper is devoted to studying the existence and stability of implicit Volterra difference equations in Banach spaces. The proofs of our results are carried out by using an appropriate extension of the freezing method to Volterra difference equations in Banach spaces. Besides, sharp explicit stability conditions are derived.
Mathematics Subject Classification ID: 39A30
zbMATH DE Number: 6929586
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3905632
OpenAlex ID: W2791498159
cites work: Volterra-Stieltjes integral equations and generalized ordinary differential expressions
cites work: Solvability of Volterra-Stieltjes operator-integral equations and their applications
cites work: Linear Volterra integral equations.
cites work: Q3379017
cites work: Asymptotic representation of the solutions of linear Volterra difference equations
cites work: Existence and estimate of solutions of some nonlinear Volterra difference equations in Hilbert spaces
cites work: Estimate of solutions for some Volterra difference equations
cites work: Perturbation Theory for Discrete Volterra Equations
cites work: The freezing method for abstract nonlinear difference equations
cites work: Q4283114
cites work: Q4040679
cites work: Theory and applications of partial functional differential equations
cites work: Existence and boundedness of solutions for nonlinear Volterra difference equations in Banach spaces
cites work: Stability of Linear Volterra–Stieltjes Differential Equations
cites work: Volterra-Stieltjes integral operators
cites work: Q5520197
cites work: The Freezing Method for Linear Difference Equations
cites work: Q4853987
cites work: Q4795587
cites work: A nonlinear Volterra equation arising in the theory of superfluidity
cites work: Decomposition of Phase Space for Linear Volterra Difference Equations in a Banach Space
cites work: Unique solvability of nonlinear Volterra equations in weighted spaces
cites work: Eigenvalue distribution of compact operators
cites work: On the convergence of Neumann series in Banach space
Wikidata QID: Q130176275
description: scientific article; zbMATH DE number 6929586