Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
Chaouki Aouiti; Hediene Jallouli; Mohsen Miraoui
Applications of Mathematics (2022)
- Volume: 67, Issue: 3, page 393-418
- ISSN: 0862-7940
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topAouiti, Chaouki, Jallouli, Hediene, and Miraoui, Mohsen. "Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure." Applications of Mathematics 67.3 (2022): 393-418. <http://eudml.org/doc/298105>.
@article{Aouiti2022,
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 $(\mu ,\nu )$-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.},
author = {Aouiti, Chaouki, Jallouli, Hediene, Miraoui, Mohsen},
journal = {Applications of Mathematics},
keywords = {pseudo almost automorphic solution; double measure; mixed delays},
language = {eng},
number = {3},
pages = {393-418},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure},
url = {http://eudml.org/doc/298105},
volume = {67},
year = {2022},
}
TY - JOUR
AU - Aouiti, Chaouki
AU - Jallouli, Hediene
AU - Miraoui, Mohsen
TI - Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
JO - Applications of Mathematics
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 67
IS - 3
SP - 393
EP - 418
AB - 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.
LA - eng
KW - pseudo almost automorphic solution; double measure; mixed delays
UR - http://eudml.org/doc/298105
ER -
References
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