Article
| 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: | 2022-09-06 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/150321 |
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