| 四阶常微分方程的正周期解 |
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| 引用本文： | 张环环.四阶常微分方程的正周期解[J].河西学院学报,2007,23(2):17-22. |
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| 作者姓名： | 张环环 |
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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： | 讨论四阶常微分方程u(4)(t)+a(t)u(t)=f(t,u(t)),t∈R周期边值问题,利用锥上不动点指数理论,获得了正周期解的存在性及多重性结果.
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| 关 键 词： | 四阶常微分方程 正周期解 锥 不动点指数 |
| 文章编号： | 24204895 |
| 修稿时间： | 06 18 2006 12:00AM |
Positive Periodic Solution of Fourth-order Ordinary Differential Equations |
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| ZHANG Huan-huan.Positive Periodic Solution of Fourth-order Ordinary Differential Equations[J].Journal of Hexi University,2007,23(2):17-22. |
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| Authors: | ZHANG Huan-huan |
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| Institution: | college of Mathematics and Information Science, Northwest Normal University, Lanzhou Gansu 730070 |
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| Abstract: | This paper discusses the periodic value boundary problems of fourth-order ordinary differential equations,and obtains some existence and multiplicity of positive periodic solution by applying fixed-point index theory in cones. |
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| Keywords: | Fourth-order ordinary differential equations Positive periodic solution Cone Fixed-point index theory |
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