On the boundedness of the solutions in nonlinear discrete Volterra difference equations
• 2012
Publication Information
Authors
István Györi, Essam Awwad
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publication.type
International
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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.
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.
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