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Title: Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure (English)
Author: Aouiti, Chaouki
Author: Jallouli, Hediene
Author: Miraoui, Mohsen
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 67
Issue: 3
Year: 2022
Pages: 393-418
Summary lang: English
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Category: math
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Summary: 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. (English)
Keyword: pseudo almost automorphic solution
Keyword: double measure
Keyword: mixed delays
MSC: 34C27
MSC: 34K14
MSC: 35B15
MSC: 37B25
MSC: 92B20
MSC: 92C20
idZBL: Zbl 07547201
idMR: MR4409312
DOI: 10.21136/AM.2022.0201-20
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Date available: 2022-04-14T13:38:13Z
Last updated: 2024-07-01
Stable URL: http://hdl.handle.net/10338.dmlcz/150321
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