Geodesic
Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
Applications of Mathematics, Tome 67 (2022) no. 3, pp. 393-418

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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 $(\mu ,\nu )$-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.
DOI : 10.21136/AM.2022.0201-20
Classification : 34C27, 34K14, 35B15, 37B25, 92B20, 92C20
Keywords: pseudo almost automorphic solution; double measure; mixed delays 
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Aouiti, Chaouki; Jallouli, Hediene; Miraoui, Mohsen. Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure. Applications of Mathematics, Tome 67 (2022) no. 3, pp. 393-418. doi: 10.21136/AM.2022.0201-20

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