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2018 On existence and uniqueness of $L_1$-solutions for quadratic integral equations via a Krasnoselskii-type fixed point theorem
Ravi P. Agarwal, Mohamed M.A. Metwali, Donal O'Regan
Rocky Mountain J. Math. 48(6): 1743-1762 (2018). DOI: 10.1216/RMJ-2018-48-6-1743

Abstract

Using a Krasnoselskii-type fixed point theorem due to Burton, we discuss the existence of integrable solutions of general quadratic-Urysohn integral equations on a bounded interval $(a,b)$. Uniqueness of the solution is also studied. An example to illustrate our theory is also included.

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Ravi P. Agarwal. Mohamed M.A. Metwali. Donal O'Regan. "On existence and uniqueness of $L_1$-solutions for quadratic integral equations via a Krasnoselskii-type fixed point theorem." Rocky Mountain J. Math. 48 (6) 1743 - 1762, 2018. https://doi.org/10.1216/RMJ-2018-48-6-1743

Information

Published: 2018
First available in Project Euclid: 24 November 2018

zbMATH: 06987222
MathSciNet: MR3879299
Digital Object Identifier: 10.1216/RMJ-2018-48-6-1743

Subjects:
Primary: 45G10, 47H30, 47N20

Rights: Copyright © 2018 Rocky Mountain Mathematics Consortium

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Vol.48 • No. 6 • 2018
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