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

Year 2019, Volume: 7 Issue: 1, 39 - 46, 30.04.2019

Said Baghdad Mouffak Benchohra

https://doi.org/10.36753/mathenot.559244

Cited By: 1

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 Mönch fixed point theorems.

Keywords

Hadamard–Volterra integral equations, Fixed-point theorems, Measure of noncompactness, Asymptotic behavior

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