Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations

Here, we discuss the solvability of a class of hybrid functional integral equations by applying Darbo’s fixed point theorem and the technique of the measure of noncompactness (MNC). This study has been located in space BC <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML&...

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Bibliographic Details
Main Authors: Ahmed M. A. El-Sayed, Malak M. S. Ba-Ali, Eman M. A. Hamdallah
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/18/3953
Description
Summary:Here, we discuss the solvability of a class of hybrid functional integral equations by applying Darbo’s fixed point theorem and the technique of the measure of noncompactness (MNC). This study has been located in space BC <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msub><mi>R</mi><mo>+</mo></msub><mo>)</mo></mrow></semantics></math></inline-formula>. Furthermore, we prove the asymptotic stability of the solution of our problem on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mo>+</mo></msub><mo>.</mo></mrow></semantics></math></inline-formula> We introduce the idea of asymptotic dependency of the solutions on some parameters for that class. Moreover, general discussion, examples, and remarks are demonstrated.
ISSN:2227-7390