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Can I read Stability Switches in a System of Linear Differential Equations with Diagonal Delay on EtoBox?
Stability Switches in a System of Linear Differential Equations with Diagonal Delay by Hideaki Matsunaga is a Mathematics article available to read on EtoBox.
What is Stability Switches in a System of Linear Differential Equations with Diagonal Delay about?
This paper deals with the stability problem of a delay differential system of the form x 0 ðtÞ 1⁄4 Àaxðt À sÞ À byðtÞ, y 0 ðtÞ 1⁄4 ÀcxðtÞ À ayðt À sÞ, where a, b, and c are real numbers and s is a positive number. We establish some necessary and sufficient conditions for the zero solution of the system to be asymptotically stable. In particular, as s increases monotonously from 0, the zero solution of the system switches finite times from stability to instability to stability if 0 < 4a < ffiffiffiffiffiffiffiffiffi Àbc p ; and from instability to stability to instability if As an application, we investigate the local asymptotic stability of a positive equilibrium of delayed Lotka-Volterra systems.
Who reads Stability Switches in a System of Linear Differential Equations with Diagonal Delay?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Hideaki Matsunaga
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0096-3003)
- Published
- 2009
- Language
- EN
- Field
- Mathematics (Physical Sciences)