关键词: Impulsive Volterra integral equation, mixed monotone iterative technique, Monch fixed point theorem, cone and partial ordering

Abstract: This paper studies the eaistence of solutions for mixed monotone impulsive Volterra integral equations on the infinite interval R⁺ with an infinite number of moments of impulse effect in Banach spaces. By using the eded monotone iterative technique and Monch fixed point theorem, Some existence theorems of solutions and coupled minimal and maximal quasisolutions are obtained. Finally, an example is worked out.

Key words: Impulsive Volterra integral equation, mixed monotone iterative technique, Monch fixed point theorem, cone and partial ordering