Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model

Advances in Difference Equations

Kaining Wu¹  Xiaohua Ding¹ 

[1] Department of Mathematics, Harbin Institute of Technology at Weihai, Weihai, China

关键词: impulsive;    difference equation;    exponential stability;    stabilization;    Nicholson's blowflies model;   

DOI  :  10.1186/1687-1847-2012-88

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we consider the impulsive stabilization of delay difference equations. By employing the Lyapunov function and Razumikhin technique, we establish the criteria of exponential stability for impulsive delay difference equations. As an application, by using the results we obtained, we deal with the exponential stability of discrete impulsive delay Nicholson's blowflies model. At last, an example is given to illustrate the efficiency of our results. Mathematics Subject Classification 2000: 39A30; 39A60; 39A10; 92B05.

【 授权许可】

CC BY