EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 123-132.

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EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES

陈芳启, 陈予恕

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

收稿日期:1999-01-18 修回日期:1999-10-16 出版日期:2000-02-18 发布日期:2000-02-18
基金资助:
the National Natural Science Foundation of China(19672043);the Education Committee Foundation of China

EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES

Chen Fangqi, Chen Yushu

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

Received:1999-01-18 Revised:1999-10-16 Online:2000-02-18 Published:2000-02-18
Supported by:
the National Natural Science Foundation of China(19672043);the Education Committee Foundation of China

摘要/Abstract

摘要： 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 Mönch fixed point theorem, an existence theorem of solutions is obtained. The result is demonstrated by means of an infinite system for impulsive integral equations.

关键词: Hammerstein integral equation, Mönch fixed point theorem, measure of noncompactness

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 Mönch fixed point theorem, an existence theorem of solutions is obtained. The result is demonstrated by means of an infinite system for impulsive integral equations.

Key words: Hammerstein integral equation, Mönch fixed point theorem, measure of noncompactness

中图分类号:

O177.91

陈芳启;陈予恕. EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 123-132.

Chen Fangqi;Chen Yushu. EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(2): 123-132.

[1]	陈芳启;陈予恕. ON MONOTONE ITERATIVE METHOD FOR INITIAL VALUE PROBLEMS OF NONLINEAR SECOND-ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(5): 509-518.
[2]	孙钦福;栾世霞. THE INITIAL VALUE PROBLEMS OF FIRST ORDER IMPULSIVE DIFFERENTIAL EQUATIONS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 33-44.
[3]	王志华;张凤祥. TWO POINTS BOUNDARY VALUE PROBLEMS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(3): 275-280.

EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES

EXISTENCE OF SOLUTIONS FOR NONLINEAR IMPULSIVE HAMMERSTEIN INTEGRAL EQUATIONS IN BANACH SPACES

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