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二阶脉冲积分-微分方程周期边值问题的极限解 被引量:1

Extremal Solutions of Periodic Boundary Value Problems for Second-Order Impulsive Integro-Differential Equations
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摘要 应用上下解方法和单调迭代技巧,给出了一类二阶混合型脉冲积分-微分方程周期边值问题存在最大、最小解的充分条件。 By means of lower and upper solution and the monotone iterative technique, presents sufficient conditions for the existence of minimal and maximal solutions of periodic boundary value problems of second-order mixed impulsive integrodifferential equations.
出处 《湖南工业大学学报》 2010年第4期27-31,101,共6页 Journal of Hunan University of Technology
基金 湖南省教育厅科研基金资助项目(09C320)
关键词 脉冲积分-微分方程 上下解 单调迭代技巧 周期边值问题. impulsive integro-differential equation lower and upper solutions monotone iterative technique periodic boundary value problems
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参考文献6

  • 1Lakshmikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations[M]. Singapore: World Scientific, 1989.
  • 2Guo Daojun. Multiple Solutions for n-th Order Impulsive Integro-Differential Equations in Banach Spaces[J]. Nonlinear Anal., 2005 (60): 955-976.
  • 3He Zhirnin, He Xiaoming. Monotone Iterative Technique for Impulsive Integro-Differential Equations with Periodic Boundary Value Problems[J]. Comput. Math. Appl., 2004 (48): 73-84.
  • 4Yang Xuxing, Shen Jianhua. Periodic Boundary Value Problems for Second-Order Impulsive Integro-Differential Equations[J]. J. Comput. Appl. Math., 2007 (209): 176-186.
  • 5Wang Haihua, Chen Haibo. Boundary Value Problem for Second-Order Impulsive Functional Differential Equations[J]. Appl. Math. Comput., 2007(191): 582-591.
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