On quadratic integral equations of Volterra type in Fréchet spaces

Latifa Benhamouche; Smaïl Djebali; Smaïl Djebali

doi:10.26637/MJM0604/0007

Abstract

In this work, we investigate the existence of solutions to a quadratic integral equation of Volterra type. By using the Schauder Tychonoff fixed point theorem in $C(\Omega, \mathbb{R})$, the Fréchet Space of real continuous functions on unbounded open subset $\Omega \subset \mathbb{R}^n$, we establish the existence of at least one solution.

Keywords:

Quadratic integral equation, Schauder-Tychonoff fixed point theorem, Volterra operator, Fréchet space

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Latifa Benhamouche Department of Mathematics, Faculty of Sciences, BP 270. Blida, 09000. Algeria.
Smaïl Djebali Department of Mathematics, Faculty of Sciences, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), Saad Dahlab University, route de Soumaa.
Smaïl Djebali Laboratoire "Théorie du Point Fixe et Applications", ENS, BP 92 Kouba. Algiers, 16006. Algeria.

Pages: 744-750
Date Published: 01-10-2018
Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)

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