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Stability criteria for the system of delay differential equations and its applications
Title: | Stability criteria for the system of delay differential equations and its applications |
Authors: | Fukuda, Ikki Browse this author | Kiri, Yuya Browse this author | Saito, Wataru Browse this author | Ueda, Yoshihiro Browse this author |
Keywords: | delay differential equation | asymptotic stability | population model | neural network model |
Issue Date: | 19-Aug-2019 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 1129 |
Start Page: | 1 |
End Page: | 15 |
Abstract: | In this paper, we consider the asymptotic stability for the system of linear delay differential equations. Because of the complicated interactions induced by the delay effects of the system, there are few results of the asymptotic stability for the system of the delay differential equations with multiple delays. Given this fact, we propose the new stability conditions for the system and apply these conditions to some mathematical models for the population dynamics and neural network system described by the system of delay differential equations. |
Description: | 【発行日:2019.8.19、更新日:2021.1.15】 |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/75238 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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