On existence theorems for coupled systems of quadratic Hammerstein-Urysohn integral equations in Orlicz spaces-Reference-Cited by-同舟云学术

On existence theorems for coupled systems of quadratic Hammerstein-Urysohn integral equations in Orlicz spaces

Published:2022 Issue:9 Volume:7 Page:16278-16295
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alsaadi Ateq¹,Metwali Mohamed M. A.²

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Taif University, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Damanhour University, Damanhour, Egypt

Abstract

<abstract><p>We present two existence theorems for a general system of functional quadratic Hammerstein-Urysohn integral equations in arbitrary Orlicz spaces $ L_\varphi $, namely when the generating $ N $-functions fulfill $ \Delta' $ and $ \Delta_3 $-conditions. The studied system contains many integral equations as special cases such as the Chandrasekhar equations, which have significant applications in technology and different disciplines of science. Our analysis is concerned with the fixed point approach and a measure of noncompactness.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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