Stability switches in a linear differential equation with two delays

This paper is devoted to the study of the effect of delays on the asymptotic stability of a linear differential equation with two delays \[x'(t)=-ax(t)-bx(t-\tau)-cx(t-2\tau),\quad t\geq 0,\] where \(a\), \(b\), and \(c\) are real numbers and \(\tau\gt 0\). We establish some explicit conditions...

Full description

Bibliographic Details
Main Authors: Yuki Hata, Hideaki Matsunaga
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2022-09-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol42/5/art/opuscula_math_4231.pdf