Global existence and stability results for Hadamard--Volterra--Stieltjes integral equations

Abstract

In this paper we prove the existence and stability of solutions of a class of Hadamard--Volterra--Stieltjes integral equations in the Banach space of continuous and bounded functions on unbounded interval. That result is proved under rather general hypotheses. The main tools used in our considerations are the concept of measure of noncompactness in conjunction with the Darbo and Mönch fixed point theorems.