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  • 刘永建,冯春华.具有偏差变元概周期扰动系统的概周期解[J].广西科学,2007,14(1):22-25,29.    [点击复制]
  • LIU Yong-jian,FENG Chun-hua.Almost Periodic Solutions for Some Almost Periodic Perturbation Systems with Deviating Argument[J].Guangxi Sciences,2007,14(1):22-25,29.   [点击复制]
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具有偏差变元概周期扰动系统的概周期解
刘永建1, 冯春华2
0
(1.玉林师范学院数学与计算机科学系, 广西玉林 537000;2.广西师范大学数学科学学院, 广西挂林 541004)
摘要:
结合非扰动系统关于其概周期解的变分方程系,运用压缩映射原理研究一类具有偏差变元概周期扰动系统的概周期解,获得系统存在唯一概周期解的一组充分条件.
关键词:  微分方程  扰动系统  概周期解  唯一性
DOI:
投稿时间:2006-03-15修订日期:2006-06-23
基金项目:国家自然科学基金00461003)、广西教育厅科研项目和玉林师范学院青年基金联合资助。
Almost Periodic Solutions for Some Almost Periodic Perturbation Systems with Deviating Argument
LIU Yong-jian1, FENG Chun-hua2
(1.Department of Mathematics and Computation Science, Yulin Normal University, Yulin, Guangxi, 537000, China;2.Mathematics Science College, Guangxi Normal University, Guilin, Guangxi, 541004, China)
Abstract:
Associated with the variational systems of non-perturbation systems, a kind of almost periodic perturbation system with deviating argument is investigated by using the contraction mapping principle. A set of sufficient conditions for the existence and uniqueness of the systems is obtained.
Key words:  differential systems  perturbation systems  almost periodic solutions  uniqueness

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