| 具有偏差变元的Lienard型方程反周期解的存在唯一性 |
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| 引用本文： | 罗芳琼. 具有偏差变元的Lienard型方程反周期解的存在唯一性[J]. 广西科学, 2010, 17(1): 27-31 |
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| 作者姓名： | 罗芳琼 |
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| 作者单位： | 柳州师范高等专科学校数学与计算机科学系,广西柳州,545004 |
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| 摘 要： | 利用Leray-Schauder度理论,获得具有偏差变元的Lienard方程x″(t)+f1(t,x(t))x′(t)+f2(x(t))x′((t))2+g(t,x(t-τ(t)))=p(t)反周期解存在唯一性的充分条件.
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| 关 键 词： | Lienard方程 偏差变元 反周期解 Leray-Schauder度 |
| 收稿时间： | 2009-10-23 |
Existence and Uniqueness of Anti-Periodic Solutions for a Class of Lienard-type Equation with a Deviating Argument |
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| LUO Fang-qiong. Existence and Uniqueness of Anti-Periodic Solutions for a Class of Lienard-type Equation with a Deviating Argument[J]. Guangxi Sciences, 2010, 17(1): 27-31 |
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| Authors: | LUO Fang-qiong |
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| Affiliation: | Department of Mathematics and Computer Science;Liuzhou Teachers College;Liuzhou;Guangxi;545004;China |
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| Abstract: | By employing Leray-Schauder degree theorem,some new sufficient conditions of the existence and uniqueness of Anti-periodic solutions for Lienard-type equation with a deviating argument of the form x″（t）＋f1（t,x（t））x′（t）＋f2（t,x（t））x′（（t））2＋g（t,x（t-τ（t）））=p（t） are obtained. |
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| Keywords: | Lienard-type equation deviating arguments anti-periodic solutions Leray-Schauder degree |
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