Global existence and stability results for Hadamard--Volterra--Stieltjes integral equations

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume: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 : 15 | Download : 12

Publication Date : 2019-08-01

Article Type : Research Paper

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

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