Existence of at least one positive continuing solution of Urysohn quadratic integral equation by Schauder fixed-point theorem.

Authors

  • Insaf Ben Saoud
  • Haitham Makhzoum
  • Kheria Msaik

DOI:

https://doi.org/10.37376/ljst.v13i2.2318

Keywords:

Urysohn quadratic integral equation, Carathéo-dary functions, monotonic nonincreasing, maximal and minimal solutions, Lebesgue integrable functions

Abstract

We employ Schauder fixed-point Theorem to prove the existence of at least one positive con-tinuous solution of the quadratic integral equation

Moreover, the maximal and the minimal solutions of the last equation are also proved.

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Author Biographies

Insaf Ben Saoud

Department of Mathematics, Faculty of Education, University of Benghazi, Benghazi, Libya

Haitham Makhzoum

Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya

Kheria Msaik

Department of Mathematics, Faculty of Science, University of Al Zintan, Al Zintan,Libya

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Published

2022-09-18

How to Cite

Ben Saoud, I., Makhzoum, H., & Msaik, K. (2022). Existence of at least one positive continuing solution of Urysohn quadratic integral equation by Schauder fixed-point theorem. Libyan Journal of Science &Amp;Technology, 13(2). https://doi.org/10.37376/ljst.v13i2.2318

Issue

Vol. 13 No. 2 (2021)

Section

Articles