| 一类具有脉冲效应的时滞线性微分方程的概周期解 |
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| 引用本文： | 刘永建,冯春华.一类具有脉冲效应的时滞线性微分方程的概周期解[J].广西科学,2007,14(2):106-109. |
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| 作者姓名： | 刘永建 冯春华 |
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| 作者单位： | 1. 玉林师范学院数学与计算机科学系,广西玉林,537000
2. 广西师范大学数学学院,广西桂林,541004 |
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| 基金项目： | 国家自然科学基金
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Scientific Research Foundation of Guangxi Education Office
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Young Foundation of Guangxi Yulin Normal University |
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| 摘 要： | 基于压缩不动点原理,考虑一类具有脉冲效应的时滞微分方程概周期解的存在性问题,在一定条件下获得了系统存在唯一概周期的一组充分条件.
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| 关 键 词： | 微分方程 不动点原理 概周期 存在性 |
| 文章编号： | 1005-9164（2007）02-0106-04 |
| 收稿时间： | 2006-09-11 |
| 修稿时间： | 2006-09-11 |
Almost Periodic Solutions of Linear Impulsive Delay Differential Equations |
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| LIU Yong-jian and FENG Chun-hua.Almost Periodic Solutions of Linear Impulsive Delay Differential Equations[J].Guangxi Sciences,2007,14(2):106-109. |
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| Authors: | LIU Yong-jian and FENG Chun-hua |
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| Institution: | Department of Mathematics and Computer Science, Yulin Normal University, Yulin, Guangxi, 537000, China and Department of Mathematics, Guangxi Normal University, Guilin, Guangxi, 541004, China |
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| Abstract: | This paper deals with the existence of almost periodic solution s of linear impulsive delay differential equations as follows,{x'=A(t)x(t)+∑ni=1Ai(t)x(t-ri)+h(t),t≠τk,τk＜τk+1,k=±1,±2L,Δx(t)=Bkx(t)+Ik(x(t))+pk,t=τk,by using the fixed point theorem of contraction mapping principle we present a set of sufficient conditions to ensure the existence and uniqueness of almost periodic solutions of impulsive delay differential equations in some closed con vex set. |
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| Keywords: | differential equation fixed point theorem almost periodic solution existence and uniqueness |
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