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STABILITY CRITERIA FOR THE SYSTEM OF DELAY DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

Fukuda, Ikki 大阪大学 DOI:10.18910/86342

2022.01

概要

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.

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