Stability switches in a system of linear differential equations with diagonal delay

DOI10.1016/j.amc.2009.02.010zbMath1171.34346OpenAlexW2060916480MaRDI QIDQ1026274

Hideaki Matsunaga

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.02.010

zbMATH Keywords

asymptotic stabilitystability criteriadelay differential equationscharacteristic equationdiagonal delay

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06)

Related Items (11)

Stability criteria for the system of delay differential equations and its applications ⋮ Stability switches in a linear differential equation with two delays ⋮ Stability switches in linear delay difference equations ⋮ Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems ⋮ Delay-dependent stability switches in a delay differential system ⋮ Delay-dependent stability switches in fractional differential equations ⋮ Delay-dependent stability criteria for neutral delay differential and difference equations ⋮ Exact versus discretized stability regions for a linear delay differential equation ⋮ Stability of three-parameter systems of two linear differential equations with delay. I ⋮ Stability and periodic investigations of linear planar difference systems ⋮ On stabilization of unstable steady states of autonomous ordinary differential equations via delayed feedback controls

Cites Work

• Delay differential equations: with applications in population dynamics
• Stability criteria for a class of linear differential equations with off-diagonal delays
• Discrete delay, distributed delay and stability switches
• Introduction to functional differential equations
• Stability for a competitive Lotka-Volterra system with delays
• Hopf bifurcation and global periodic solutions in a delayed predator -- prey system
• Delay-dependent and delay-independent stability criteria for a delay differential system
• Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
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