Sun Qinfu, Luan Shixia. The Initial Value Problems of First Order Impulsive Differential Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2000, (1): 30-38.
Citation: Sun Qinfu, Luan Shixia. The Initial Value Problems of First Order Impulsive Differential Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2000, (1): 30-38.

The Initial Value Problems of First Order Impulsive Differential Equations in Banach Spaces

  • Received Date: 1998-06-12
  • Rev Recd Date: 1999-07-08
  • Publish Date: 2000-01-15
  • In this paper,by using of monotone iterative technique,the existence and iterative approximation of the minimax quasi-solutions of the initial value problems for more general first order impulsive differential equations in Banach spaces are investigated.
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  • [1]
    张石生,王凡.关于一类一阶脉冲微分系统的初值问题[J].应用数学和力学,1998,19(4):279~284.
    [2]
    Guo Dajun,Liu Xinzhi.Extremal solutions of nonlinear impulsive integro-differential equation in Banach spaces[J].J Math Appl Anal,1993,177(2):538~552.
    [3]
    Erbe L H,Liu Xinzhi.Quasi-solutions of nonlinear impulsive equationsin abstractcones[J].ApplAnal,1989,34(2):231~250.
    [4]
    Deimling K.Nonlinear Functional Analysis[M].New York:Springer-Verlag,1985.
    [5]
    郭大钧,孙经先.抽象空间常微分方程[M].济南:山东科学技术出版社,1989.
    [6]
    Guo Dajun.Extermal solutions of nonlinear Fredholm integral equation in Banach spaces[J].J North-Eastern Math,1991,7(4):416~423.
    [7]
    刘立山.Banach 空间非线性混合型微分-积分方程的解[J].数学学报,1995,38(6):721~731.
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