Existence of solution for a coupled system of Urysohn-Stieltjes functional integral equations

A. M. A. El-Sayed; M. M. A. Al-Fadel

doi:10.2478/tmj-2018-0008

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Home > Journals > Tbilisi Math. J. > Volume 11 > Issue 1 > Article

January 2018 Existence of solution for a coupled system of Urysohn-Stieltjes functional integral equations

A. M. A. El-Sayed, M. M. A. Al-Fadel

Tbilisi Math. J. 11(1): 117-125 (January 2018). DOI: 10.2478/tmj-2018-0008

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Abstract

We present an existence theorem for at least one continuous solution for a coupled system of nonlinear functional (delay) integral equations of Urysohn-Stieltjes type.

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A. M. A. El-Sayed. M. M. A. Al-Fadel. "Existence of solution for a coupled system of Urysohn-Stieltjes functional integral equations." Tbilisi Math. J. 11 (1) 117 - 125, January 2018. https://doi.org/10.2478/tmj-2018-0008

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Received: 14 August 2017; Accepted: 3 January 2018; Published: January 2018

First available in Project Euclid: 21 April 2018

zbMATH: 06856991

MathSciNet: MR3772694

Digital Object Identifier: 10.2478/tmj-2018-0008

Subjects:

Primary: 74H10

Secondary: 45G10 , 47H30

Keywords: continuous solution , coupled system , Urysohn-Stieltjes integral equations

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Tbilisi Math. J.

Vol.11 • No. 1 • January 2018

Tbilisi Centre for Mathematical Sciences

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A. M. A. El-Sayed, M. M. A. Al-Fadel "Existence of solution for a coupled system of Urysohn-Stieltjes functional integral equations," Tbilisi Mathematical Journal, Tbilisi Math. J. 11(1), 117-125, (January 2018)

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