Almost Periodic Solutions for Systems with Delay and Nonfixed Times of Impulsive Actions

We study the existence and asymptotic stability of piecewise continuous almost periodic solutions for systems of differential equations with delay and nonfixed times of impulsive actions that can be regarded as mathematical models of neural networks.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2017-04, Vol.68 (11), p.1673-1693
Main Authors: Dvornyk, A.V., Tkachenko, V. I.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Artificial neural networks
Differential equations
Geometry
Mathematics
Mathematics and Statistics
Neural networks
Statistics
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Description
Summary:We study the existence and asymptotic stability of piecewise continuous almost periodic solutions for systems of differential equations with delay and nonfixed times of impulsive actions that can be regarded as mathematical models of neural networks.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-017-1320-z