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 ofsolutions of a class of Hadamard–Volterra integral equations in the Banach space of continuous andbounded functions on unbounded interval. The main tools used in our considerations are the concept ofmeasure of noncompactness in conjunction with the Darbo and Mönch fixed point theorems.