The asymptotic behavior for a class of impulsive delay differential equations. (English) Zbl 1276.34067

Yang, Zhichun

Abstr. Appl. Anal. 2013, Article ID 494067, 7 p. (2013).

Summary: This paper is concerned with the asymptotic behavior of a class of impulsive delay differential equations. New criteria for determining attracting sets and attracting basins of impulsive systems are obtained by developing the properties of quasi-invariant sets. Examples and numerical simulations are given to illustrate the effectiveness of our results.

MSC:

34K45	Functional-differential equations with impulses
34K25	Asymptotic theory of functional-differential equations

Keywords:

attracting sets; quasi-invariant sets

References:

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