| 一类高阶中立型微分方程周期解的存在性 |
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| 引用本文： | 郑春华,刘文斌. 一类高阶中立型微分方程周期解的存在性[J]. 工程数学学报, 2009, 26(6) |
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| 作者姓名： | 郑春华 刘文斌 |
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| 作者单位： | 郑春华(陕西工业职业技术学院基础部,咸阳,712000);刘文斌(中国矿业大学数学系,徐州,221116) |
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| 摘 要： | 本文研究一类高阶中立型泛函微分方程周期解的存在性,利用一些分析技巧和k-集压缩映射理论得到了该类方程至少存在一个周期解的两类充分条件.所得结果将现有关于常微分方程的结论推广到了泛函微分方程情形,同时减少或减弱了已有结果中的一些条件,从方程的形式和周期解的存在性条件两个方面推广和改进了文献中的相应工作.
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| 关 键 词： | 中立型微分方程 高阶 k-集压缩映射 周期解 |
Existence of Periodic Solutions for a Kind of High Order Neutral Differential Equations |
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| ZHENG Chun-hua,LIU Wen-bin. Existence of Periodic Solutions for a Kind of High Order Neutral Differential Equations[J]. Chinese Journal of Engineering Mathematics, 2009, 26(6) |
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| Authors: | ZHENG Chun-hua LIU Wen-bin |
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| Affiliation: | ZHENG Chun-hua1,LIU Wen-bin2(1-Basic Department,Shaanxi Industry Polytechnic Institute,Xianyang 712000,2-Department of Mathematics,China University of Mining and Technology,Xuzhou 221116) |
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| Abstract: | By utilizing specific analysis techniques and the k-set contractive operator theory,we study the existence of periodic solutions for a kind of higher order neutral functional differential equations.Two kinds of sufficient conditions which guarantee the existence of at least one periodic solution to the equation are obtained.The investigated equation in existing results is extended from the ordinary differential equation to the functional differential equation.Meanwhile,some assumptions in current results ar... |
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| Keywords: | neutral differential equation high order k-set contractive mapping periodic solution |
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