具有有限时滞中立型泛函微分方程的概周期解 |
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引用本文: | 方聪娜,王全义,谢惠琴.具有有限时滞中立型泛函微分方程的概周期解[J].厦门水产学院学报,2010(6):471-474. |
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作者姓名: | 方聪娜 王全义 谢惠琴 |
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作者单位: | [1]集美大学理学院,福建厦门361021 [2]华侨大学数学科学学院,福建泉州362021 [3]福州大学数学与计算机科学学院,福建福州350108 |
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基金项目: | 福建省青年人才创新基金资助项目(2009J05009); 福建省教育厅基金资助项目(JA07142JA09152) |
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摘 要: | 研究了具有有限时滞中立型泛函微分方程x.(t)=A(t)x(t)+∑mi=1fi(t,x(t),x(t-τi(t)),x.(t-τi(t)))+b(t)的概周期解问题.利用不动点方法以及相关分析技巧,建立了保证该方程的概周期解的存在性及唯一性的充分条件.
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关 键 词: | 泛函微分方程 概周期解 存在性 唯一性 |
The Almost Periodic Solutions of Neutral Functional Differential Equations with Finite Delays |
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Authors: | FANG Cong-na WANG Quan-yi XIE Hui-qin |
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Institution: | 1.School of Science,Jimei University,Xiamen 361021,China;2.School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China;3.College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350108,China) |
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Abstract: | The problem of the almost periodic solutions of neutral functional differential equations with finite delays ·(t)=A(t)x(t)+∑mi=1fi(t,x(t),x(t-τi(t)),·(t-τi(t)))+b(t) was dealt with.Using the fixed point method and related analysis skills,the sufficient conditions were established which guaranteed the existence and uniqueness of almost periodic solutions for the equations. |
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Keywords: | functional differential equation almost periodic solution existence uniqueness |
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