Stability of unique pseudo almost periodic solutions with measure

Boulbaba Ghanmi; Mohsen Miraoui

Applications of Mathematics (2020)

  • Volume: 65, Issue: 4, page 421-445
  • ISSN: 0862-7940

Abstract

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By means of the fixed-point methods and the properties of the μ -pseudo almost periodic functions, we prove the existence, uniqueness, and exponential stability of the μ -pseudo almost periodic solutions for some models of recurrent neural networks with mixed delays and time-varying coefficients, where μ is a positive measure. A numerical example is given to illustrate our main results.

How to cite

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Ghanmi, Boulbaba, and Miraoui, Mohsen. "Stability of unique pseudo almost periodic solutions with measure." Applications of Mathematics 65.4 (2020): 421-445. <http://eudml.org/doc/297028>.

@article{Ghanmi2020,
abstract = {By means of the fixed-point methods and the properties of the $\mu $-pseudo almost periodic functions, we prove the existence, uniqueness, and exponential stability of the $\mu $-pseudo almost periodic solutions for some models of recurrent neural networks with mixed delays and time-varying coefficients, where $\mu $ is a positive measure. A numerical example is given to illustrate our main results.},
author = {Ghanmi, Boulbaba, Miraoui, Mohsen},
journal = {Applications of Mathematics},
keywords = {measure pseudo almost periodic solution; recurrent neural networks; mixed delays},
language = {eng},
number = {4},
pages = {421-445},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Stability of unique pseudo almost periodic solutions with measure},
url = {http://eudml.org/doc/297028},
volume = {65},
year = {2020},
}

TY - JOUR
AU - Ghanmi, Boulbaba
AU - Miraoui, Mohsen
TI - Stability of unique pseudo almost periodic solutions with measure
JO - Applications of Mathematics
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 65
IS - 4
SP - 421
EP - 445
AB - By means of the fixed-point methods and the properties of the $\mu $-pseudo almost periodic functions, we prove the existence, uniqueness, and exponential stability of the $\mu $-pseudo almost periodic solutions for some models of recurrent neural networks with mixed delays and time-varying coefficients, where $\mu $ is a positive measure. A numerical example is given to illustrate our main results.
LA - eng
KW - measure pseudo almost periodic solution; recurrent neural networks; mixed delays
UR - http://eudml.org/doc/297028
ER -

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