| 引用本文： |
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沈柳平,姚晓洁,杨继昌.一类具有两个偏差变元的高阶微分方程反周期解的存在唯一性[J].广西科学,2011,18(1):22-25. [点击复制]
- SHEN Liu-ping,YAO Xiao-jie,YANG Ji-chang.Existence and Uniqueness of Anti-Periodic Solutions for a Class of High-order Differential Equation with Two Deviating Arguments[J].Guangxi Sciences,2011,18(1):22-25. [点击复制]
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| 摘要: |
| 利用Leray-Schauder度理论,获得一类具有两个偏差变元的高阶微分方程x(n)(t)+f(t,x'(t),x″(t),…,x(n-1)(t))+g1(t,x(t-τ1(t)))+g2(t,x(t-τ2(t)))=e(t)反周期解存在唯一性的充分条件. |
| 关键词: 高阶微分方程 偏差变元 反周期解 Leray-Schauder度 |
| DOI： |
| 投稿时间：2010-10-13修订日期：2011-01-06 |
| 基金项目: |
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| Existence and Uniqueness of Anti-Periodic Solutions for a Class of High-order Differential Equation with Two Deviating Arguments |
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SHEN Liu-ping, YAO Xiao-jie, YANG Ji-chang
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| (Department of Mathematics and Computer Science, Liuzhou Teachers College, Liuzhou, Guangxi, 545004, China) |
| Abstract: |
| Some sufficient conditions of the existence and uniqueness of anti-periodic solutions for a class of high-order differential equation with two deviating arguments as follows x(n)(t)+f(t,x'(t),x″(t),…,x(n-1)(t))+g1(t,x(t-τ1(t)))+g2(t,x(t-τ2(t)))=e(t) is obtained by employing Leray-Schauder degree theorem. |
| Key words: high-order differential equation deviating argument anti-periodic solutions Leray-Schauder degree |
