| 概周期解和有界解的存在性 |
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| 引用本文： | 夏永辉,林木仁.概周期解和有界解的存在性[J].福州大学学报(自然科学版),2004,32(4):405-409. |
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| 作者姓名： | 夏永辉 林木仁 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建,福州,350002 |
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| 基金项目： | 福建省教育厅科研资助项目(JB03059) |
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| 摘 要： | 利用压缩映像原理和指数型二分性理论研究了时滞扰动系统dxdt=A(t)x+f(t,x)+g(t,x(t-τ))得到了存在唯一概周期解和有界解的一些充分条件,把文献1]和5]的结果推广到泛函微分方程.
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| 关 键 词： | 扰动系统 压缩映射 指数型二分性 概周期解 有界解 |
The existence of almost periodic solutions and bounded solutions |
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| XIA Yong-hui,LIN Mu-ren.The existence of almost periodic solutions and bounded solutions[J].Journal of Fuzhou University(Natural Science Edition),2004,32(4):405-409. |
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| Authors: | XIA Yong-hui LIN Mu-ren |
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| Institution: | (College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China) |
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| Abstract: | This paper studies the following perturbation system with delay(dx)/(dt)=A(t)x+f(t, x)+g(t, x(t-τ)). By using the contraction mapping principle and exponential dichotomies, some sufficient conditions are obtained for the existence and uniqueness of almost periodic solution and bounded solution of this system. Our results generalize those ones of 1, 5] to the functional differential equations. |
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| Keywords: | perturbation systems contraction mapping exponential dichotomies almost periodic solution bounded solution |
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