| 二阶非线性变系数奇异微分方程的周期解 |
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| 引用本文： | 李志龙,蒋淑珺.二阶非线性变系数奇异微分方程的周期解[J].数学进展,2011(6). |
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| 作者姓名： | 李志龙 蒋淑珺 |
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| 作者单位： | 江西财经大学数学系; |
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| 基金项目： | 国家自然科学基会(No10701040,No60964005); 江西省自然科学基金项目(No2009GQS007); 江西省教育厅科技项目(NoGJJ11420) |
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| 摘 要： | 利用拓扑度理论和不动点指数理论,研究了二阶非线性变系数奇异微分方程u″(t)+a(t)u(t)=r(t)f(u(t))的周期解的存在性.特别地,本文没有假设a(t)和f(u)的非负性.
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| 关 键 词： | 拓扑度 不动点指数 变系数奇异微分方程 周期解 |
Periodic Solutions to Second-order Nonlinear Singular Differential Equations With Variable Parameters |
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| LI Zhilong,JIANG Shujun.Periodic Solutions to Second-order Nonlinear Singular Differential Equations With Variable Parameters[J].Advances in Mathematics,2011(6). |
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| Authors: | LI Zhilong JIANG Shujun |
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| Institution: | LI Zhilong,JIANG Shujun (Department of Mathematics,Jiangxi University of Finance and Economics,Nanchang,Jiangxi,330013,P.R.China) |
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| Abstract: | The existence of periodic solutions is investigated for second-order nonlinear singular differential equations with variable parameters u(t)+a(t)u(t)=r(t)f(u(t)) by topological degree theory and fixed point index theory.In particular,the nonnegativity of a(t) and f(u) are not necessarily assumed. |
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| Keywords: | topological degree fixed point index singular differential equations with variable parameters periodic solutions |
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