On the boundedness of the solutions in nonlinear discrete Volterra difference equations

I. Győri, Essam Awwad

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this article, we investigate the boundedness property of the solutions of linear and nonlinear discrete Volterra equations in both convolution and non-convolution case. Strong interest in these kind of discrete equations is motivated as because they represent a discrete analogue of some integral equations. The most important result of this article is a simple new criterion, which unifies and extends several earlier results in both discrete and continuous cases. Examples are also given to illustrate our main theorem.

Original languageEnglish
Article number2
JournalAdvances in Difference Equations
Volume2012
DOIs
Publication statusPublished - 2012

Fingerprint

Volterra Difference Equations
Difference equations
Discrete Equations
Convolution
Integral equations
Boundedness
Volterra Equation
Integral Equations
Analogue
Theorem

ASJC Scopus subject areas

  • Applied Mathematics
  • Algebra and Number Theory
  • Analysis

Cite this

On the boundedness of the solutions in nonlinear discrete Volterra difference equations. / Győri, I.; Awwad, Essam.

In: Advances in Difference Equations, Vol. 2012, 2, 2012.

Research output: Contribution to journalArticle

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