Existence and boundedness of solutions for nonlinear Volterra difference equations in Banach spaces
type: Item
instance of: scholarly article
title: Existence and boundedness of solutions for nonlinear Volterra difference equations in Banach spaces
zbMATH Open document ID: 1470.39031
DOI: 10.1155/2016/1319049
author: Rigoberto Medina
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such equations are elements of an appropriate Banach space. These estimates give us explicit boundedness conditions. The boundedness of solutions to Volterra equations with infinite delay is also investigated.
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 6929341
Wikidata QID: Q59121498
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/1319049
OpenAlex ID: W2555373970
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description: scientific article; zbMATH DE number 6929341