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

Ahmed M. A. El-Sayed, Malak M. S. Ba-Ali () and Eman M. A. Hamdallah
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Ahmed M. A. El-Sayed: Faculty of Science, Alexandria University, Alexandria 21521, Egypt
Malak M. S. Ba-Ali: Faculty of Science, Princess Nourah Bint Abdul Rahman University, Riyadh 11671, Saudi Arabia
Eman M. A. Hamdallah: Faculty of Science, Alexandria University, Alexandria 21521, Egypt

Mathematics, 2023, vol. 11, issue 18, 1-18

Abstract: 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.

Keywords: hybrid functional equation; measure of noncompactness; asymptotic stability and dependency (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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