The Asymptotic Behavior for a Class of Impulsive Delay Differential Equations | Zendy

Zhichun Yang | Zendy

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The Asymptotic Behavior for a Class of Impulsive Delay Differential Equations

Author(s) -

Zhichun Yang

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/494067

Subject(s) - mathematics , class (philosophy) , invariant (physics) , impulse (physics) , delay differential equation , differential equation , differential (mechanical device) , mathematical analysis , computer science , physics , quantum mechanics , artificial intelligence , mathematical physics , aerospace engineering , engineering

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

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