On the Initial Value Problems of First Order Impulsive Differential Systems

Zhang Shisheng; Wang Fan

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(4): 279-284

Zhang Shisheng, Wang Fan. On the Initial Value Problems of First Order Impulsive Differential Systems[J]. Applied Mathematics and Mechanics, 1998, 19(4): 279-284.

Citation:

Zhang Shisheng, Wang Fan. On the Initial Value Problems of First Order Impulsive Differential Systems[J]. Applied Mathematics and Mechanics, 1998, 19(4): 279-284.

Citation:

Zhang Shisheng, Wang Fan. On the Initial Value Problems of First Order Impulsive Differential Systems[J]. Applied Mathematics and Mechanics, 1998, 19(4): 279-284.

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On the Initial Value Problems of First Order Impulsive Differential Systems

Zhang Shisheng¹,
Wang Fan²

1.
Sichuan University, Chengdu 610064, P.R.China;
2.
Nantong Teacher's College, Nantong, Jiangshu 226007, P.R.China

Received Date: 1996-04-26
Rev Recd Date: 1997-10-06
Publish Date: 1998-04-15

Abstract

Abstract

The purpose of this poper is to study the existence and iterative approximation of minimax quasi-solutions for a class of initial value problems of first order impulsive differential systems by using monotone iterative methods.
- first order impulsive differential systems,
- minimax quasi-solution,
- iterative process

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References(3)

References

[1]	V.Lakshmikantham,D.D.Bainov and P.S.Simeonov,Theory of Impulsive Differential Equations,World Sci.Publishing Co.,Singapore (1989).
[2]	M.Khavanin and V.Lakshmikantham,The method of mixed monotone and first order differential systems,Nonlinear Anal.TMA,10(9) (1986),873-877.
[3]	L.H.Erbe and X.Liu,Quasi-solutions of nonlinear impulsive equations in abstract cones,Appl.Ana l.,34(2) (1989),231-250.