| 一类高阶非线性微分方程的正周期解 |
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| 引用本文： | 徐宏武,李小龙. 一类高阶非线性微分方程的正周期解[J]. 四川师范大学学报(自然科学版), 2010, 33(2). DOI: 10.3969/j.issn.1001-8395.2010.02.013 |
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| 作者姓名： | 徐宏武 李小龙 |
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| 作者单位： | 陇东学院,数学系,甘肃,庆阳,745000;陇东学院,数学系,甘肃,庆阳,745000 |
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| 基金项目： | 甘肃省教育厅硕士研究生导师计划 |
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| 摘 要： | 应用Krasnoselskii锥映射不动点定理,研究了一类高阶非线性常微分方程Lnu=f(t,u(t))的ω-周期解的存在性,获得了正ω-周期解存在性的充分性条件.
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| 关 键 词： | n阶常微分方程 正ω-周期解 闭凸锥 锥映射不动点定理 |
Positive Periodic Solutions for a Class of Nonlinear Higher Order Differential Equations |
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| XU Hong-wu,LI Xiao-long. Positive Periodic Solutions for a Class of Nonlinear Higher Order Differential Equations[J]. Journal of Sichuan Normal University(Natural Science), 2010, 33(2). DOI: 10.3969/j.issn.1001-8395.2010.02.013 |
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| Authors: | XU Hong-wu LI Xiao-long |
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| Affiliation: | XU Hong-wu,LI Xiao-long(Department of Mathematics,Longdong College,Qingyang 745000,Gansu) |
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| Abstract: | In this paper,the existence of ω-periodic solutions for a class of nonlinear higher order ordinary differential equations Lnu=f(t,u(t)) is studied.By using Krasnoselskii fixed point theorem of cone map,the existence of positive ω-periodic solutions is proved. |
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| Keywords: | n-th order differential equation positive periodic solution closed convex cone fixed point of cone map |
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