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

Advances in Difference Equations

Essam Awwad¹  Istvn Gyri¹ 

[1] Department of Mathematics, Faculty of Information Technology, University of Pannonia, Hungary

关键词: Linear Case;    Initial Vector;    Mathematical Induction;    Volterra Equation;    Boundedness Property;   

DOI  :  10.1186/1687-1847-2012-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY