| 系数变号的二阶非线性常微分方程的正周期解 |
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| 引用本文： | 刘雅妮.系数变号的二阶非线性常微分方程的正周期解[J].兰州铁道学院学报,2007,26(4):147-150. |
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| 作者姓名： | 刘雅妮 |
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| 作者单位： | 西北师范大学数学与信息科学学院 甘肃兰州730070 |
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| 摘 要： | 讨论了其中a(t)可以变号的二阶常微分方程u"(t) a(t)u(t)=f(t,u(t)),t∈R的周期解的存在性问题,利用krasnoselskii锥映射的不动点定理,获得了ω-正周期解的存在性与多重性结果.
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| 关 键 词： | 二阶常微分方程 正ω-周期解 系数变号 锥映射不动点定理. |
| 文章编号： | 1001-4373（2007）04-0147-04 |
| 修稿时间： | 2006-11-30 |
Positive Periodic Solution of Nonlinear Second-order Ordinary Differential Equations with Changing Sign of Coefficients |
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| Liu Yani.Positive Periodic Solution of Nonlinear Second-order Ordinary Differential Equations with Changing Sign of Coefficients[J].Journal of Lanzhou Railway University,2007,26(4):147-150. |
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| Authors: | Liu Yani |
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| Institution: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070,China |
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| Abstract: | The periodic value boundary problems of second order ordinary differential equations are probed,where a(t) can change sign,and some existence and multiplicity of positive periodic solution are obtained by applying krasnoselskii fixed-point theorem of cone maping. |
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| Keywords: | second-order ordinary differential equation positive periodic solution change of coefficients sign fixed-point theorem of cone maping |
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