| 一类具无穷时滞泛函微分方程周期解问题的研究 |
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| 引用本文： | 普丰山,陈全红,陈运河.一类具无穷时滞泛函微分方程周期解问题的研究[J].河南科学,2007,25(4):530-533. |
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| 作者姓名： | 普丰山 陈全红 陈运河 |
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| 作者单位： | 漯河职业技术学院,基础部,河南,漯河,462000 |
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| 摘 要： | 引入(BC-∞,P)空间,综合应用Liapunov泛函方法以及Schauder不动点定理,讨论了一类具无穷时滞泛函微分方程x′(t)=(ft,xt)的周期解的存在性问题,将Yoshizawa定理推广到具无穷时滞滞后型周期泛函微分方程上去,得到周期解存在性更为科学的证明方法.
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| 关 键 词： | 泛函微分方程 无穷时滞 周期解 不动点原理 |
| 文章编号： | 1004-3918（2007）04-0530-04 |
| 修稿时间： | 2007-06-21 |
Study on Periodical Solutions of Functional Differential Equations with Infinite Delay |
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| PU Feng-shan,CHEN Quan-hong,CHEN Yun-he.Study on Periodical Solutions of Functional Differential Equations with Infinite Delay[J].Henan Science,2007,25(4):530-533. |
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| Authors: | PU Feng-shan CHEN Quan-hong CHEN Yun-he |
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| Institution: | Luohe Occupation Technical College, Luohe 462000, China |
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| Abstract: | Using(BC-∞,P) space,together with the comprehensive use of Liapunov′s functions method and Schauder′s Fixed Point Theorems,the author mainly discusses the existence of periodical solution on Functional Differential Equations with Infinite Delay,x′(t)= f(t,Xt),then implies Yoshizawa Theorems to Functional Differential Equations with Infinite Delay,aquiring the more scientific proving method on the existence of periodical solutions. |
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| Keywords: | Functional Differential Equations Infinite Delay periodical solutions Fixed Point Theorems |
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