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

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Mathematical Sciences and Applications E-Notes
Volume: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 : 34 | Download : 7

Publication Date : 2019-04-30

Article Type : Research Paper

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 : HadamardVolterra integral equations, Fixed point theorems, Measure of noncompactness, Asymptotic behavior

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