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Stability of unique pseudo almost periodic solutions with measure

Boulbaba Ghanmi; Mohsen Miraoui — 2020

Applications of Mathematics

By means of the fixed-point methods and the properties of the $μ$ -pseudo almost periodic functions, we prove the existence, uniqueness, and exponential stability of the $μ$ -pseudo almost periodic solutions for some models of recurrent neural networks with mixed delays and time-varying coefficients, where $μ$ is a positive measure. A numerical example is given to illustrate our main results.

Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure

Chaouki Aouiti; Hediene Jallouli; Mohsen Miraoui — 2022

Applications of Mathematics

We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a $(μ, ν)$ -pseudo almost automorphic solution. The...

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