Tbilisi Mathematical Journal

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

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

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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.

Article information

Source
Tbilisi Math. J., Volume 11, Issue 1 (2018), 117-125.

Dates
Received: 14 August 2017
Accepted: 3 January 2018
First available in Project Euclid: 21 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1524276034

Digital Object Identifier
doi:10.2478/tmj-2018-0008

Mathematical Reviews number (MathSciNet)
MR3772694

Zentralblatt MATH identifier
06856991

Subjects
Primary: 74H10: Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.)
Secondary: 45G10: Other nonlinear integral equations 47H30: Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) [See also 45Gxx, 45P05]

Keywords
coupled system Urysohn-Stieltjes integral equations continuous solution

Citation

El-Sayed, A. M. A.; Al-Fadel, M. M. A. Existence of solution for a coupled system of Urysohn-Stieltjes functional integral equations. Tbilisi Math. J. 11 (2018), no. 1, 117--125. doi:10.2478/tmj-2018-0008. https://projecteuclid.org/euclid.tbilisi/1524276034


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