Journal of Mathematics and Applications
04/43, DOI: 10.7862/rf.2020.4
On the Existence of Continuous Positive Monotonic Solutions of a Self-Reference Quadratic Integral Equation
Ahmed M.A. EL-Sayed, Hanaa R. Ebead
DOI: 10.7862/rf.2020.4
Abstract
In this work we study the existence of positive monotonic solutions of a self-reference quadratic integral equation in the class of continuous real valued functions. The continuous dependence of the unique solution will be proved. Some examples will be given.
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About this Article
TITLE:
On the Existence of Continuous Positive Monotonic Solutions of a Self-Reference Quadratic Integral Equation
AUTHORS:
Ahmed M.A. EL-Sayed (1)
Hanaa R. Ebead (2)
AUTHORS AFFILIATIONS:
(1) Alexandria University, Faculty of Science, EGYPT
(2) Alexandria University, Faculty of Science, EGYPT
JOURNAL:
Journal of Mathematics and Applications
04/43
KEY WORDS AND PHRASES:
Self-reference; Quadratic integral equation; Existence of solutions; Uniqueness of solution; Continuous dependence; Schauder fixed point theorem.
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/92
DOI:
10.7862/rf.2020.4
URL:
http://dx.doi.org/10.7862/rf.2020.4
RECEIVED:
2020-04-04
ACCEPTED:
2020-09-19
COPYRIGHT:
Oficyna Wydawnicza Politechniki Rzeszowskiej, al. Powstańców Warszawy 12, 35-959 Rzeszów