| 2阶抽象微分方程的周期解 |
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| 引用本文： | 胡适耕.2阶抽象微分方程的周期解[J].应用数学,1994,7(3):269-274. |
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| 作者姓名： | 胡适耕 |
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| 作者单位： | 华中理工大学数学系 武汉 |
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| 摘 要： | 本文考虑Banach空间中形如x″=A(t)x f(t,x,x′)的2阶微分方程,利用基于度理论的一定不动点定理得到了以上方程存在周期解的若干充分条件。
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| 关 键 词： | 抽象微分方程 周期解 不动点定理 |
Periodic Solutions of Second Order Abstract Differential Equations |
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| Hu Shigeng.Periodic Solutions of Second Order Abstract Differential Equations[J].Mathematica Applicata,1994,7(3):269-274. |
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| Authors: | Hu Shigeng |
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| Abstract: | In this paper the second order differential equation x"=A(t)x f(t,x,x') in a Banach space is considered. By means of certain fixed point theorem based on the degree theory ,some sufficient conditions for the existence of perodic solutions of the above equation are obtained. |
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| Keywords: | Abstract differential equation Periodic solution Fixed point theorem |
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