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抽象空间中一阶脉冲微分积分方程的边值问题

Boundary value problems of first order Volterra's impulsive integro-differential equations in abstract spaces
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摘要 利用增算子不动点定理讨论了一阶抽象 Volterra型脉冲微分积分方程周期边值问题的广义解 。 In the paper,the mild solutions for the periodic boundary value problems of the first order nonlinear Volterra's impulsive integro differential equations in Banach spaces is considered by means of the fixed point theorem for increasing operators.
出处 《黄冈师范学院学报》 2001年第3期31-33,43,共4页 Journal of Huanggang Normal University
关键词 增算子不动点定理 脉冲微分积分方程 抽象空间 周期边值问题 广义解 迭代公式 the fixed point theorem for increasing operators impulsive integro differential equations differential equations in Banach spaces periodic boundary value problems.
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参考文献3

  • 1Lakshmikantham V,Bainov D D,Simeonov P S. Theory of impulsive differential equations [M]. Singapore:World Scientific, 1989.
  • 2Liu Weian. Cones in Integrable Vector Valued Function Spaces and Abstract Impulsive Integro-Differential Equations[J]. Northeast Math. J. 1996,12(4) :441~446.
  • 3Deimling K Nonlinear Functional Analysis[M]. Berlin-Heidelberg:Springer-Verlag,1985.

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