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

• Articles •     Next Articles

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

Chen Fangqi, Chen Yushu   

  1. 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

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

2010 MSC Number: 

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