| 二阶不连续微分方程周期边值问题解的存在性 |
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| 引用本文： | 梁延堂,高小飞,李德生.二阶不连续微分方程周期边值问题解的存在性[J].数学杂志,2004,24(2):156-162. |
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| 作者姓名： | 梁延堂 高小飞 李德生 |
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| 作者单位： | 1. 兰州师范专科学校数学系,甘肃,兰州,730070
2. 烟台大学数学与信息科学系,山东,烟台,264005 |
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| 基金项目： | SupportedbyNationalNaturalScienceFoundationofChina(1 0 0 71 0 6 6 ) . |
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| 摘 要： | 本文研究Lienard方程x"+f(t,x,x')x'+g(t,x)=h(t,x,x')的周期边值问题,其中f,g,h均为Caratbeodory函数.利用Leray-Schauder度理论,在适当的条件下证明了该问题解的存在性.
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| 关 键 词： | 不连续微分方程 周期边值问题 存在性 |
EXISTENCE OF SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEMS OF SECOND-ORDER DISCONTINUOUS DIFFERENTIAL EQUATIONS |
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| Abstract.EXISTENCE OF SOLUTIONS FOR PERIODIC BOUNDARY VALUE PROBLEMS OF SECOND-ORDER DISCONTINUOUS DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2004,24(2):156-162. |
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| Authors: | Abstract |
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| Abstract: | In this paper we study the periodic boundary value problem of Lienard equation:x"+ f(t,x,x')x' + g(t,x) = h(t,x,x'),where f, g and h are Caratheodory functions. Using Leray-Schauder degree theory,we prove that the problem has at least one solution under appropriate conditions. |
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| Keywords: | existence periodic boundary value problem discontinuous differential equation |
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