International Conference on Differential Equations
and Dynamical Systems DEDS'2022
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Research Communication | Open Access
Volume 2022 | Communication ID 8934


Neutral type Integro Differential Equations with Stepanov Like Pseudo Almost Automorphic Coefficients
Farah Dridi
Academic Editors: Youssef EL FOUTAYENI - Chaouki AOUITI
Received
Accepted
Published
May 04, 10:26
July 01, 2022
July 15, 2022

Abstract: In this article, we considered a neutral integro differential equations with Stepanov like pseudo almost automorphic coefficients. Via a direct method and by using the Banach fixed point theorem and mathematical analysis skills, we obtained sufficient conditions to ensure the existence, uniqueness and global exponential stability of pseudo almost automorphic solutions for the equations under consideration. Moreover as an application of our proposed method, we studied the dynamics and oscillations of neutral type Hopfield neural networks.



International Conference on Differential Equations and Dynamic Systems DEDS @ 2022