EXISTENCE OF POSITIVE PERIODIC SOLUTION TO A CLASS OF NONAUTONOMOUS DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY

EXISTENCE OF POSITIVE PERIODIC SOLUTION TO A CLASS OF NONAUTONOMOUS DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY

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摘要 In this paper, by fixed point theorem of Krasnoselskii, we study the positive pe- riodic solution to a class of nonautonomous differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results on the existence of positive periodic solution to the equation are obtained. In this paper, by fixed point theorem of Krasnoselskii, we study the positive pe- riodic solution to a class of nonautonomous differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results on the existence of positive periodic solution to the equation are obtained.

作者 Zhang Suping (Dept. of Math. and Physics, Anhui Institute of Architecture and Industry, Hefei 230022) Jiang Wei (School of Mathematical Science, Anhui University, Hefei 230039)

出处《Annals of Differential Equations》 2009年第1期97-104,共8页 微分方程年刊（英文版）

基金 supported by the National Natural Science Foundation of China(No10241005) the Key Program of Ministry of Education of China (No205068) the Foun-dation of Master of Anhui Institute of Architecture and Industry (No20070601-5)

关键词 IMPULSES DELAY positive periodic solution fixed point theorem impulses delay positive periodic solution fixed point theorem

分类号 O175 [理学—基础数学]

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EXISTENCE OF POSITIVE PERIODIC SOLUTION TO A CLASS OF NONAUTONOMOUS DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY

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