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

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