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具有n个小时滞脉冲系统的周期解 被引量:1

Periodic Solutions of Impulsive Systems with n Small Delays
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摘要 本文考虑有n个小时滞的脉冲系统,利用隐函数存在性定理证明了该系统时滞充分小时,系统的周期解存在性,推广了已有的相关结论. An impulsive system with n small delays is considered. If the delays are small enough, existence of periodic solutions for impulsive system is proved by using the implicit function theorem. The results generalize the corresponding work of known literature.
出处 《应用数学学报》 CSCD 北大核心 2013年第1期165-175,共11页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10961005) 广西壮族自治区研究生教育创新计划(2008106020701 M234)资助项目
关键词 小时滞 脉冲 周期解 隐函数存在性定理 small delay impulsive periodic solution implicit function theorem
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参考文献8

  • 1Bainov D D,Covachev V C. Periodic Solutions of Impulsive Systems with a Small Delays[J].Journal of Physics A:Mathematical and General,1994.5551-5563.
  • 2Jodar L,Villanueva R J,Covachev V Chr. Periodic Solutions of Neutral Impulsive Systems with a Small Delays[A].1994.125-135.
  • 3Li Yuji,Ge Weigao. Stability Theorems and Existence Results for Periodic Solutions of Nonlinear Impulsive Delay Differential Equations with Variable Coefficients[J].Nonlinear Analysis-Theory Methods and Applications,2004.363-399.
  • 4Li Wantong,Huo Haifeng. Existence and Global Attractivity of Positive Periodic Solutions of Functional Differential Equations with Impulses[J].Nonlinear Analysis-Theory Methods and Applications,2004.857-877.
  • 5Yang Zhichun,Xu Daoyi. Existence and Exponential Stability of Periodic Solution for Impulsive Delay Differential Equations and Applications[J].Nonlinear Analysis-Theory Methods and Applications,2006.130-145.
  • 6Weng Aizhi,Sun Jitao. Globally Exponential Stability of Periodic Solutions for Nonlinear Impulsive Delay Systems[J].Nonlinear Analysis-Theory Methods and Applications,2007.1938-1946.
  • 7Zhang Liang,Li Hongxu. Periodicity on a Class of Neutral Impulsive Delay System[J].Applied Mathematics and Computation,2008.178-185.
  • 8Lakshmikanthara V,Bainov D,Simeonov P. Theory of Impulsive Differential Equations[M].Singapore:World Scientific Publishing Co.Ptc.Ltd,1989.

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