| 奇数阶常微分方程的反周期解 |
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| 引用本文： | 佘彦,骆昱成. 奇数阶常微分方程的反周期解[J]. 吉林大学学报(理学版), 2009, 47(1): 34-36 |
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| 作者姓名： | 佘彦 骆昱成 |
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| 作者单位： | 吉林大学,数学研究所,长春,130012;吉林大学,数学学院,长春,130012 |
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| 摘 要： | 考虑奇数阶常微分方程的反周期问题, 把问题先转化为求算子的不动点问题, 再利用拓扑度理论, 证明算子不动点的存在性, 从而得到所考虑问题解的存在性, 最后证明了解的惟一性.
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| 关 键 词： | 奇数阶常微分方程 反周期解 拓扑度理论 |
| 收稿时间： | 2008-10-23 |
Anti-periodic Solutions for (2n+1)-Order Ordinary Differential Equations |
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| SHE Yan,LUO Yu-cheng. Anti-periodic Solutions for (2n+1)-Order Ordinary Differential Equations[J]. Journal of Jilin University: Sci Ed, 2009, 47(1): 34-36 |
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| Authors: | SHE Yan LUO Yu-cheng |
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| Affiliation: | 1. Institute of Mathematics, Jilin University, Changchun 130012, China; 2. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The present paper deals with the anti-periodic problems for(2n+1)-order ordinary differential equation.Under certain assumpations,we presented some results about the existence and uniqueness of anti-periodic solutions for(2n+1)-order ordinary differential equations using the topological degree theory. |
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| Keywords: | (2n+1)-order odinary differential equation an ti periodic solutions topological degree theory |
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