| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| . |
| Date available:
|
2022-04-14T13:38:13Z |
| Last updated:
|
2024-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/150321 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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