The Asymptotic Behavior for a Class of Impulsive Delay Differential Equations

Zhichun Yang

Abstract and Applied Analysis, 2013, vol. 2013, 1-7

Abstract:

This paper is concerned with asymptotical behavior for a class of impulsive delay differential equations. The new criteria for determining attracting sets and attracting basin of the impulsive system are obtained by developing the properties of quasi-invariant sets. Examples and numerical simulations are given to illustrate the effectiveness of our results. In addition, we show that the impulsive effects may play a key role to these asymptotical properties even though the solutions of corresponding nonimpulsive systems are unbounded.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:494067

DOI: 10.1155/2013/494067

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