Existence of solutions for nonlinear impulsive Volterra integral equations in Banach spaces

摘要

In this paper, we study the existence of solutions for nonlinear impulsive Volterra integral equations with infinite moments of impulse effect on the half line R~+ in Banach spaces. Some existence theorems of extremal solutions are obtained, which extend the related results for this class of equations with finite moments of impulse effect on finite interval in [1]. Our results are demonstrated by means of an example of an infinite system for impulsive integral equations.