On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations

Abstract

In this paper we provide sufficient condition guaranteeing existence and the asymptotic behavior of solutions of a class of Hadamard–Volterra integral equations in the Banach space of continuous and bounded functions on unbounded interval. The main tools used in our considerations are the concept of measure of noncompactness in conjunction with the Darbo and Monch fixed point theorems.