| POSITIVE PERIODIC SOLUTION TO A CLASS OF NONLINEAR PERIODIC DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY |
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| 作者姓名： | Zhang Suping |
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| 作者单位： | Zhang Suping (Dept. of Math，and Physics，Anhui Institute of Architecture and Industry，Heifei 230022) Jiang Wei (School of Math，and Computational Science，Anhui University，Hefei 230039) |
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| 基金项目： | This research had been supported by the National Nature Science Foundation of China (No. 10241005)，the Key Program of Ministry of Education of China (No. 205068). |
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| 摘 要： | In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results of the existence of positive periodic solution about the equation are obtained.
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| 关 键 词： | 非线性周期微分方程 脉冲 延迟 正周期解 不动点定理 |
POSITIVE PERIODIC SOLUTION TO A CLASS OF NONLINEAR PERIODIC DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY |
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| Zhang Suping.POSITIVE PERIODIC SOLUTION TO A CLASS OF NONLINEAR PERIODIC DIFFERENTIAL EQUATION WITH IMPULSES AND DELAY[J].微分方程年刊(英文版),2007,23(1):104-112. |
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| Authors: | Zhang Suping Jiang Wei |
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| Institution: | [1]Dept. of Math. and Physics, Anhui Institute of Architecture and Industry, Heifei 230022 [2]School of Math. and Computational Science, Anhui University, Hefei 230039 |
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| Abstract: | In this paper, by using a fixed point theorem of Krasnoselskii, we study the positive periodic solution for a class of nonlinear periodic differential equation with impulses and delay. Firstly, definition of periodic solution and some lemmas are stated. Then some results of the existence of positive periodic solution about the equation are obtained. |
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| Keywords: | differential equations with impulses and delay positive periodic solution fixed point theorem |
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