Stability of unique pseudo almost periodic solutions with measure
Applications of Mathematics, Tome 65 (2020) no. 4, pp. 421-445
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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.
DOI :
10.21136/AM.2020.0252-19
Classification :
34C27, 34K14, 35B15, 37B25, 92C20
Keywords: measure pseudo almost periodic solution; recurrent neural networks; mixed delays
Keywords: measure pseudo almost periodic solution; recurrent neural networks; mixed delays
@article{10_21136_AM_2020_0252_19,
author = {Ghanmi, Boulbaba and Miraoui, Mohsen},
title = {Stability of unique pseudo almost periodic solutions with measure},
journal = {Applications of Mathematics},
pages = {421--445},
publisher = {mathdoc},
volume = {65},
number = {4},
year = {2020},
doi = {10.21136/AM.2020.0252-19},
mrnumber = {4134142},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0252-19/}
}
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%0 Journal Article %A Ghanmi, Boulbaba %A Miraoui, Mohsen %T Stability of unique pseudo almost periodic solutions with measure %J Applications of Mathematics %D 2020 %P 421-445 %V 65 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.2020.0252-19/ %R 10.21136/AM.2020.0252-19 %G en %F 10_21136_AM_2020_0252_19
Ghanmi, Boulbaba; Miraoui, Mohsen. Stability of unique pseudo almost periodic solutions with measure. Applications of Mathematics, Tome 65 (2020) no. 4, pp. 421-445. doi: 10.21136/AM.2020.0252-19
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