| 抽象泛函微分方程的权伪概周期解 |
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| 引用本文： | 王奇,王志杰,丁敏敏,张洪彦. 抽象泛函微分方程的权伪概周期解[J]. 应用数学, 2011, 24(3) |
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| 作者姓名： | 王奇 王志杰 丁敏敏 张洪彦 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | Supported by the Anhui Provincial NSF(090416237); the Doctoral Program of Ministry of Education of China(20103401120002); the NNSF(10971229); the 211 Project of Anhui University(02303129,KJTD002B); the Foundation of Anhui Education Bureau of China(KJ2009A49,KJ2009AZ005) |
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| 摘 要： | 本文利用算子半群理论和Banach不动点定理研究了一类具非局部条件的抽象泛函微分方程权伪概周期解的存在唯一性,所得结论拓展了已有结果.
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| 关 键 词： | 权伪概周期解 半线性演化方程 存在唯一性,非局部条件 |
Weighted Pseudo Almost Periodic Solutions for Abstract Functional Differential Equations |
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| WANG Qi , WANG Zhijie , DING Minmin , ZHANG Hongyan. Weighted Pseudo Almost Periodic Solutions for Abstract Functional Differential Equations[J]. Mathematica Applicata, 2011, 24(3) |
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| Authors: | WANG Qi WANG Zhijie DING Minmin ZHANG Hongyan |
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| Affiliation: | WANG Qi,WANG Zhijie DING Minmin,ZHANG Hongyan(School of Mathematical Sciences,Anhui University,Hefei230039,China) |
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| Abstract: | In this paper,by using the theory of semigroups of operators to evolution families and Banach fixed point theorem,we prove the existence and uniqueness of the weighted pseudo al most periodic mild solution of a class of abstract functional differential equation with nonlocal conditions in Banach spaces,which extend some known results. |
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| Keywords: | Weighted pseudo almost periodic solutions Semilinear evolution equation Existence and uniqueness Nonlocal conditions |
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