Acta mathematica scientia,Series A ›› 2000, Vol. 20 ›› Issue (1): 101-108.

• Articles • Previous Articles     Next Articles

Existence Theorems of Solutions for Nonlinear Impulsive Volterra Integral Equations in Banach Spaces and Applications

  

  1. (Department of Mathematics, Qufu Normal University, Qufu 273165)
  • Online:2000-01-07 Published:2000-01-07

Abstract:

In this paper, we use a new comparison result and the Monch fixed-point theorem to prove some existence theorems of global solutions for the nonlinear impulsive Volterra integral equations in Banach spaces that   improve the results in [1-3]. Then, we give some applications to initial value problems for first order impulsive differential equations in Banach spaces.

Key words:

CLC Number: 

  • 45N
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