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二阶脉冲泛函微分方程非线性边值问题

Nonlinear Boundary Problem of Second Order Impulsive Functional Differential Equations
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摘要 通过上下解和单调迭代技术讨论了二阶脉冲泛函微分方程非线性边值问题极值解的存在性,推广了相关文献的结果. This paper discusses nonlinear boundary value problem for second order impulsive functional differential equations. We obtain the existence of extremal solutions of the boundary value problem by using the method of lower and upper solutions coupled with monotone iterative technique. Generalize the results of relevant literature.
出处 《数学的实践与认识》 CSCD 北大核心 2008年第17期154-159,共6页 Mathematics in Practice and Theory
基金 山西省自然科学基金项目(20051010) 山西省重点扶持学科项目
关键词 脉冲泛函微分方程 边值问题 上下解 单调迭代技术 impulsive functional differential equations boundary value problems lower and upper solutions monotone iterative technique
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参考文献7

  • 1Lakshmikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations[M]. World Scientific, Singapore, 1989.
  • 2Samoilenko A M, Perestyuk N A. Impulsive Differential Equations[M]. World Scientific, Singapore,1995.
  • 3Fengqin Zhang, Meili Li, Jurang Yan. Periodic boundary value problem for first order impulsive differential equations [J]. Computer and Appl Math, 2006,51 : 927-936.
  • 4Yang X X, Shen J H. Nonlinear boundary value problems for first order impulsive functional differential equations [J].J Math Comput, 2007,189 : 1943-1952.
  • 5Chen L J, Sun J T. Boundary value problem of second order impulsive functional differential equations[J]. J Math Apple, 2006,323 : 708-720.
  • 6Ding W, Han M A. Periodic boundary value problem for the second order impulsive functional differential equations [J]. J Math Comput, 2004,155 : 709-726.
  • 7Chen L J, Sun J T. Nonlinear boundary problem of first order impulsive integro-differential equations [J]. J Comput Appl Math ,2007,202 : 392-401.

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