Asymptotic Stability and Dependency of a Class of Hybrid Functional Integral Equations
Open Access
- 17 September 2023
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 11 (18) , 3953
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 . Furthermore, we prove the asymptotic stability of the solution of our problem on 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
This publication has 24 references indexed in Scilit:
- On quadratic integral equations in Orlicz spacesJournal of Mathematical Analysis and Applications, 2012
- Monotonic solutions of functional integral and differential equations of fractional orderElectronic Journal of Qualitative Theory of Differential Equations, 2009
- Quadratic perturbations of periodic boundary value problems of second order ordinary differential equationsDifferential Equations & Applications, 2009
- Global asymptotic stability of solutions of a functional integral equationNonlinear Analysis, 2008
- On solutions of a quadratic integral equation of Hammerstein typeMathematical and Computer Modelling, 2006
- Monotonic solutions of a class of quadratic integral equations of Volterra typeComputers & Mathematics with Applications, 2005
- Existence and uniqueness of solutionsto first-order multipoint boundary value problemsApplied Mathematics Letters, 2004
- On existence and asymptotic stability of solutions of a nonlinear integral equationJournal of Mathematical Analysis and Applications, 2003
- An application of a measure of noncompactness in the study of asymptotic stabilityApplied Mathematics Letters, 2003
- On the superposition operator and integrable solutions of some functional equationNonlinear Analysis, 1988