| 多时滞高阶微分方程的周期解 |
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| 引用本文： | 梁心,从福仲.多时滞高阶微分方程的周期解[J].东北数学,2008,24(6):558-564. |
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| 作者姓名： | 梁心 从福仲 |
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| 作者单位： | |
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| 基金项目： | 国家自然科学基金，Grant and Program for New Century Excellent Talents in University of Ministry of Eduction of China |
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| 摘 要： | By Fourier analysis techniques and Schauder fixed point theorem, we study the existence of periodic solutions for a class of even order differential equations with multiple delays. The result obtained is a generalization of the results developed by W. Layton to the case of multiple delays.
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| 关 键 词： | 高阶微分方程 周期解 SCHAUDER不动点定理 多时滞 傅立叶分析 解的存在性 偶数阶 延误 |
Periodic Solutions for the Higher Order Differential Equations with Multiple Delays |
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| LIANG Xin,CONG Fu-zhong.Periodic Solutions for the Higher Order Differential Equations with Multiple Delays[J].Northeastern Mathematical Journal,2008,24(6):558-564. |
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| Authors: | LIANG Xin CONG Fu-zhong |
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| Institution: | [1]Institute of Mathematics, Jilin University, Changchun, 130012 [2]Fundamental Department, Aviation University of Air Force, Changchun,130022 |
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| Abstract: | By Fourier analysis techniques and Schauder fixed point theorem, we study the existence of periodic solutions for a class of even order differential equations with multiple delays. The result obtained is a generalization of the results developed by W. Layton to the case of multiple delays. |
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| Keywords: | (2k)th-order differential equation multiple delay periodic solution Schauder fixed point theorem |
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