Existence of Solutions for Nonlinear Impulsive Hammerstein Integral Equations in Banach Spaces

Chen Fangqi; Chen Yushu

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Chen Fangqi, Chen Yushu. Existence of Solutions for Nonlinear Impulsive Hammerstein Integral Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2000, 21(2): 111-118.

Citation:

Chen Fangqi, Chen Yushu. Existence of Solutions for Nonlinear Impulsive Hammerstein Integral Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2000, 21(2): 111-118.

Citation:

Chen Fangqi, Chen Yushu. Existence of Solutions for Nonlinear Impulsive Hammerstein Integral Equations in Banach Spaces[J]. Applied Mathematics and Mechanics, 2000, 21(2): 111-118.

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Existence of Solutions for Nonlinear Impulsive Hammerstein Integral Equations in Banach Spaces

Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China

Received Date: 1999-01-18
Rev Recd Date: 1999-10-16
Publish Date: 2000-02-15

Abstract

Abstract

The existence of solutions for nonlinear impulsive Hammerstein integral equations with infinite numbers of moments of impulse effect on the infinite interval R⁺ in Banach spaces is studied.By means of M^L nch fixed point theorem,an existence theorem of solutions is obtained.The result is demonstrated by means of an infinite system for impulsive integral equations.
- Hammerstein integral equation,
- M^Lnch fixed point theorem,
- measure of noncompactness

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References(10)

References

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