| 中立型泛函微分系统概周期解的存在性与指数稳定性 |
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| 引用本文： | 王敬丰,李洪岩.中立型泛函微分系统概周期解的存在性与指数稳定性[J].合肥学院学报(自然科学版),2014(2):10-15. |
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| 作者姓名： | 王敬丰 李洪岩 |
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| 作者单位： | 安徽交通职业技术学院文理科学系;安徽交通职业技术学院土木工程系; |
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| 基金项目： | 安徽省教育厅自然科学研究项目(KJ2013Z037);安徽省重大教学改革研究项目(2013zdjy164)资助 |
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| 摘 要： | 通过研究一类中立型泛函微分系统的概周期解,利用不动点理论建立了保证其概周期解存在性和唯一性的充分条件,并且讨论了其概周期解的全局指数稳定性,从而推广了相关文献的结果.
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| 关 键 词： | 中立型泛函微分系统 概周期解 全局指数稳定性 不动点理论 |
Existence and Exponential Stability of Almost Periodic Solutions for Neutral Functional Differential Equations |
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| Affiliation: | WANG Jing-feng, LI Hong-yan ( a. Department of Arts and Scientific, b. Department of Civil Engineering, Anhui Communication Vocational and Technical College, Hefei 230051, China) |
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| Abstract: | The purpose of this paper is to study the question of almost periodic solutions of the neutral functional differential equations,to establish sufficient conditions for the existence and uniqueness of the almost periodic solutions of the neutral functional differential equations applying the fixed point theory,and to consider the global exponential stability for the almost periodic solutions. It popularize the result in other reference. |
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| Keywords: | neutral functional differential system almost periodic solutions global exponential stability fixed point theory |
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