- Tytuł:
- Stability switches in a linear differential equation with two delays
- Autorzy:
-
Hata, Yuki
Matsunaga, Hideaki - Powiązania:
- https://bibliotekanauki.pl/articles/2216160.pdf
- Data publikacji:
- 2022
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
delay differential equations
stability switches
two delays - Opis:
- 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 − τ ) − cx(t − 2τ ), t ≥ 0, where a, b, and c are real numbers and τ > 0. We establish some explicit conditions for the zero solution of the equation to be asymptotically stable. As a corollary, it is shown that the zero solution becomes unstable eventually after undergoing stability switches finite times when τ increases only if c−a < 0 and $sqrt{-8c(c-a)} < |b| < a+c$. The explicit stability dependence on the changing τ is also described.
- Źródło:
-
Opuscula Mathematica; 2022, 42, 5; 673-690
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł