| 2n+1阶非线性微分方程的周期解 |
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| 引用本文： | 从福仲,胡玉臣,徐静. 2n+1阶非线性微分方程的周期解[J]. 东北师大学报(自然科学版), 2002, 34(2): 6-10 |
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| 作者姓名： | 从福仲 胡玉臣 徐静 |
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| 作者单位： | 1. 空军长春飞行学院数学室,吉林,长春,130022
2. 长春市计算机学校科研部,吉林,长春,130000 |
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| 基金项目： | 国家自然科学基金资助项目 ( 1 0 1 0 1 0 30 ) |
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| 摘 要： | 平等地非共振高阶Duffing方程周期解问题的研究，利用拓扑度方示和Schwarz不等式，给出一类线性奇数阶常微分方程周期解的存在惟一性定理。
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| 关 键 词： | 周期解 2n＋1阶微分方程 拓扑度理论 |
| 文章编号： | 1000-1832(2002)02-0006-05 |
On periodic solutions of (2n+1)th order nonlinear differential equations |
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| CONG Fu zhong,HU Yu chen ,XU Jing. On periodic solutions of (2n+1)th order nonlinear differential equations[J]. Journal of Northeast Normal University (Natural Science Edition), 2002, 34(2): 6-10 |
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| Authors: | CONG Fu zhong HU Yu chen XU Jing |
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| Affiliation: | CONG Fu zhong,HU Yu chen 1,XU Jing 2 |
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| Abstract: | Sufficient conditions for the existence and uniqueness of an odd order nonlinear differential equations are obtained.This work corresponds to the study of the boundary ralue problems on high order Duffing equations with nonresonance.The proofs are based on the topological degree theory and Schwarz inequality. |
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| Keywords: | periodic soution (2 n +1)th order differential equation topological degree theory |
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