Abstract
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 theory of this work generalizes the classical results on weighted pseudo almost automorphic functions. Finally, a numerical example is provided to illustrate the validity of the proposed theoretical results.
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Aouiti, C., Jallouli, H. & Miraoui, M. Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure. Appl Math 67, 393–418 (2022). https://doi.org/10.21136/AM.2022.0201-20
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DOI: https://doi.org/10.21136/AM.2022.0201-20