Banach空间中二阶非线性脉冲微分积分方程初值问题的整体解

Abstract

Abstract:

Through solving the problem stepstep and by applying Banach fixedpoint theorem, under simple conditions, the author has obtained existence and uniqueness and iterative approximation of solution for initial value problems of nonlinear second order impulsive integroldifferential equati
ons in Banach space, and improved and generalized the corresponding results of ［1］ and ［2］ for d_0=0. Moreover, the method is different essentially from those in ［1］,［2］.

Key words: Nonlinear impulsive epuation;Initial value problem;Banach fixed point theorem.

CLC Number:

34B15

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XU Yu-Mei. Initial Problems for Nonlinear Second Order Impulsive Integro differential Equation in Banach Space[J].Acta mathematica scientia,Series A, 2005, 25(1): 47-56.

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References

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Initial Problems for Nonlinear Second Order Impulsive Integro differential Equation in Banach Space

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