| 一个状态依赖时滞抽象偏泛函微分方程的周期解 |
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| 引用本文： | 李祥,李志祥.一个状态依赖时滞抽象偏泛函微分方程的周期解[J].应用数学,2011,24(1). |
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| 作者姓名： | 李祥 李志祥 |
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| 作者单位： | 国防科学技术大学理学院数学与系统科学系,湖南,长沙,410073 |
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| 摘 要： | 本文研究了一类具有状态依赖时滞的抽象偏泛函微分方程.首先利用Schauder不动点定理证明了周期解的存在性,然后在相应假设条件下得到整体指数吸引所有解的周期解.
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| 关 键 词： | 周期解 状态依赖时滞 偏泛函微分方程 |
Periodic Solutions of an Abstract PFDE with State-dependent Delay |
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| LI Xiang,LI Zhixiang.Periodic Solutions of an Abstract PFDE with State-dependent Delay[J].Mathematica Applicata,2011,24(1). |
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| Authors: | LI Xiang LI Zhixiang |
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| Institution: | LI Xiang,LI Zhixiang(Department of Mathematics and Systems Science,College of Science,National University of Defense Technology,Changsha 410073,China) |
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| Abstract: | In this paper,we investigate an abstract partial functional differential equation(PFDE) with state-dependent delay.First,we study the existence of periodic solutions by using Schauder fixed point theorem.Then we obtain a unique periodic solution which attracts all the solutions exponentially under some additional assumptions. |
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| Keywords: | Periodic solution State-dependent delay Partial functional differential equation |
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