- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 68 Issue: 2
- Global existence and stability results for Hadamard--Volterra--Stieltjes integral equations
Global existence and stability results for Hadamard--Volterra--Stieltjes integral equations
Authors : Said Baghdad, Mouffak Benchohra
Pages : 1387-1400
Doi:10.31801/cfsuasmas.530865
View : 8 | Download : 11
Publication Date : 2019-08-01
Article Type : Research
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.Keywords : Hadamard-Volterra-Stieltjes integral equations, fixed-point theorems, measure of noncompactness, asymptotic behavior