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一类高阶中立型微分方程周期解的存在性
  • 期刊名称：工程数学学报，26（2009）：1039-1049
  • 时间：0
  • 分类：O175.6[理学—数学;理学—基础数学]
  • 作者机构：[1]陕西工业职业技术学院基础部,咸阳712000, [2]中国矿业大学数学系,徐州221116
  • 相关基金：国家自然科学基金（10771212）.致谢：感谢审稿人提出的宝贵修改意见.
  • 相关项目：跨共振点非耗散振动周期解存在性研究
关键词： 中立型微分方程, 高阶, k-集压缩映射, 周期解, neutral differential equation, high order, k-set contractive mapping, periodic solution
中文摘要：

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。

英文摘要：

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 are weaken or removed. Our conclusions generalize and improve the related results in the literature from both the form of the equation and the conditions for the existence of periodic solutions.

同期刊论文项目
跨共振点非耗散振动周期解存在性研究
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