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二阶脉冲微分包含问题解的存在性 被引量:2

The Existence of Solutions for Second-order Impulsive Functional Differential Inclusions
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摘要 借助于Bohnenblust-Karlin不动点定理,对一类二阶脉冲微分包含初值问题解的存在性进行了分析.不同于已知文献[1]的相关假设,并给出局部的假设条件(H2). Mainly concerned with the existence result for a class of second-order impulsive functional differential inclusions. On the basis of Bohn-enblust-Karlin's fixed point theorem. We considered the existence of a class of second-order impulsive functional differential inclusions. A sufficient condition was established. Particularly, our main condition (H2) was local and different from the known literature.
出处 《甘肃科学学报》 2008年第1期24-27,共4页 Journal of Gansu Sciences
关键词 泛函脉冲微分包含 Bohnenblust—Karlin不动点定理 存在性 impulsive functional differential inclusions Bohnenblust-Karlin's fixed point theorem existence,
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参考文献8

  • 1常永奎,李万同.多值泛函微分方程的存在性和可控性[D].兰州:兰州大学博士研究生学位论文. 被引量:1
  • 2Yong-kui Chang Li-mei Qi.Existence Results for Second-order Impulsive Functional Differential Inclusions[J].Journal of Applied Mathematics and Stoch-astic Analysis,volume 2006,Article ID 28216:1-12. 被引量:1
  • 3Chang Y K,Li W T.Controllability of Second-order Differential and Integro-differential Inclutions in Banach Spaces[J].Journal of Optimization Theory and Applications,2006,129(1):77-87. 被引量:1
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  • 8Bohnenblust H F,Karlin S.On a Theorem of Ville,In Contributions to the Theory of Games[J].Princeton University Press,1950,1:155-160 被引量:1

二级参考文献3

  • 1Agarwal R P, O'Regan D. Multiple nonnegative solutions for second order impulsive differential equations[J]. Appl Math Cornput, 2000, 114:51-59. 被引量:1
  • 2Guo D. Existence of solutions of boundary value problems for nonlinear second order impulsive differential equations in Banach spaces[J]. Jour Math Anal Appl,1994,181:407-421. 被引量:1
  • 3王宏洲,葛渭高.奇性边值问题的正解存在性[J].数学学报(中文版),1999,42(1):111-118. 被引量:12

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