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 (R+). Furthermore, we prove the asymptotic stability of the solution of our pr...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-09, Vol.11 (18), p.3953
Main Authors: El-Sayed, Ahmed M. A., Ba-Ali, Malak M. S., Hamdallah, Eman M. A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Asymptotes
Asymptotic properties
asymptotic stability and dependency
Banach spaces
Fixed points (mathematics)
hybrid functional equation
Integral equations
Integration, Functional
Mathematical analysis
measure of noncompactness
Methods
Nonlinear equations
Queuing theory
Stability
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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 (R+). Furthermore, we prove the asymptotic stability of the solution of our problem on R+. 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
2227-7390
DOI:10.3390/math11183953