- Mathematical Sciences and Applications E-Notes
- Vol: 7 Issue: 1
- On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations
On Existence and Asymptotic Behavior of Solutions of Hadamard-Volterra Integral Equations
Authors : Said BAGHDAD, Mouffak BENCHOHRA
Pages : 39-46
Doi:10.36753/mathenot.559244
View : 7 | Download : 4
Publication Date : 2019-04-30
Article Type : Research
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