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  • 邓春红,冯春华.一类时滞微分方程周期解的存在性[J].广西科学,2009,16(1):23-26,31.    [点击复制]
  • DENG Chun-hong,FENG Chun-hua.Existence of Periodic Solutions for a Class of Differential Equations with Continuous and Discrete Delays[J].Guangxi Sciences,2009,16(1):23-26,31.   [点击复制]
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一类时滞微分方程周期解的存在性
邓春红1, 冯春华2
0
(1.湖南科技学院数学与计算科学系, 湖南永州 425006;2.广西师范大学数学科学学院, 广西桂林 541004)
摘要:
运用重合度理论中的延拓定理得到一类具有连续时滞和离散时滞的微分方程周期解存在的判别准则,并用1个实例来验证其应用性.该准则推广了已知的结果,具有较好的应用性.
关键词:  微分方程  周期解  延拓定理
DOI:
投稿时间:2008-04-11
基金项目:
Existence of Periodic Solutions for a Class of Differential Equations with Continuous and Discrete Delays
DENG Chun-hong1, FENG Chun-hua2
(1.Department of Mathematics and Computer Science, Hunan University of Sciences and Engineering, Yongzhou, Hunan, 425006, China;2.College of Mathematics and Computer Science, Guangxi Normal University, Guilin, Guangxi, 541004, China)
Abstract:
By using the continuity theorem in coincidence degree theory, we obtain the criteria of the existence of the periodic solution for a class of differential equations with continuous and discrete delays, and verify its application by an example.The criteria generals some results obtained and has better application.
Key words:  differential equation  periodic solution  continuity theorem

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