| 引用本文： |
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刘爱民,李传华.具有无限时滞中立型非线性微分方程周期解的存在性[J].广西科学,2009,16(4):364-367. [点击复制]
- LIU Ai-min,LI Chuan-hua.Existence of Periodic Solutions for a Kind of Neutral Nonlinear Differential with Infinity Delay[J].Guangxi Sciences,2009,16(4):364-367. [点击复制]
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| 摘要: |
| 基于Krasnoselskiis不动点定理,给出一类具有无穷时滞中立型微分方程存在唯一周期解的一组充分条件并用例子说明主要结果的可行性.该条件无需非线性项f满足Lipschitz条件,使得方程的应用范围更宽. |
| 关键词: 微分方程 无限时滞 周期解 唯一解 不动点原理 |
| DOI： |
| 投稿时间：2007-12-11修订日期：2009-09-04 |
| 基金项目:Supported by the Scientific Research Foundation of Guangxi Education Office of China(No.2009);the Special Scientific Foundation of Yulin Normal University(No.2009YJZD07) |
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| Existence of Periodic Solutions for a Kind of Neutral Nonlinear Differential with Infinity Delay |
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LIU Ai-min1, LI Chuan-hua2
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| (1.Education Technology Center, Yulin Normal University, Yulin, Guangxi, 537000, China;2.College of Graduate, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The existence and uniqueness of periodic solutions of a kind of nonlinear neutral differential equation with infinity delay is shown by using fixed point principle.In particular, the requirement of Lipschitz condition on the nonlinear function f is essentially dropped, which allows the equation to include a variety of nonlinearities.Meanwhile, an examples are given to illustrate the main results. |
| Key words: differential equation infinity delay periodic solution unique solution fixed point principle |
