| 具无穷时滞中立型高维非线性系统的周期解 |
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| 引用本文： | 万舒丽,杨建,冯春华,黄健民.具无穷时滞中立型高维非线性系统的周期解[J].纯粹数学与应用数学,2009,25(3):556-562. |
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| 作者姓名： | 万舒丽 杨建 冯春华 黄健民 |
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| 作者单位： | 广西师范大学数学科学学院,广西,桂林,541004 |
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| 基金项目： | 固家自然科学基金，广西壮族自治区研究生教育创新基金 |
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| 摘 要： | 通过构造算子利用Krasnoselskii不动点定理和线性系统的指数二分性讨论了一类具有无穷时滞非线性中立型高维周期微分系统的周期解存在性问题．得到保证系统存在周期解的新的充分条件．
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| 关 键 词： | 无穷时滞 中立型 周期解 不动点定理 存在性 |
The existence of periodic solutions to high order nonlinear neutral functional differential equations with infinite delay |
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| WAN Shu-li,YANG Jian,FENG Chun-hua,HUANG Jian-min.The existence of periodic solutions to high order nonlinear neutral functional differential equations with infinite delay[J].Pure and Applied Mathematics,2009,25(3):556-562. |
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| Authors: | WAN Shu-li YANG Jian FENG Chun-hua HUANG Jian-min |
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| Institution: | WAN Shu-li,YANG Jian,FENG Chun-hua,HUANG Jian-min (Department of Mathematics,Guangxi Normal University,Guilin 541004,China) |
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| Abstract: | By means of the Krasnoselskii＇s fixed point theorem and exponential dichotomy of linear system, this paper investigates the existence of periodic solutions for a class of high order nonlinear neutral functional differential equations with infinite delay. A new set of sufficient conditions to guarantee the existence of periodic solutions of the system is obtained. |
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| Keywords: | infinite delay neutral periodic solution fixed point theorem existence |
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