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一阶脉冲泛函微分方程的周期边值问题 被引量:1

Periodic Boundary Value Problems for First Order Impulsive Delay Differential Equations
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摘要 利用了单调迭代法讨论了一阶脉冲泛函微分方程的周期边值问题解的存在性 ,改进了HeZhimin和GeWeigao(1999,AppliedMathcomput)文的条件。 Through means of the monotone iterative technique, the existence of the periodic boundary value problem for first order impulsive delay differential equations is considered,and the conditions of He Zhimin and Ge Weigao (1999, Applied Math comput) are improred.
出处 《工程数学学报》 CSCD 北大核心 2002年第3期75-80,110,共7页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金项目 (199710 6 6 )
关键词 一阶脉冲泛函微分方程 周期边值问题 单调迭代法 上下解 impulsive delay differential equation upper and lower solutions monotone iterative technique periodic boundary value problem
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参考文献8

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  • 2[2]Zhao A, Yan J. Existence of positive solutions for delay differential equations with impulses[J]. J Math Anal Appl,1997;210:667-678
  • 3[3]Gopalsamy K, Zhang B G. On delay differential equations with impulses[J]. J Math Anal Appl,1998;139:110-122
  • 4[4]He Z M, Ge W G. Periodic boundary value problem for first order impulsive delay differential equations[J]. Applied Math Comput,1999;104:51-63
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