Exact stability criteria for delay differential and difference equations

DOI10.1016/j.aml.2006.03.012zbMath1114.34057OpenAlexW2072691472MaRDI QIDQ868011

Hideaki Matsunaga

Publication date: 19 February 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.03.012

zbMATH Keywords

asymptotic stabilitycharacteristic equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Discrete version of topics in analysis (39A12)

Related Items (8)

Pattern formation in a two-component reaction-diffusion system with delayed processes on a network ⋮ Existence of periodic solutions in a linear higher order system of difference equations ⋮ A probabilistic point of view on peak effects in linear difference equations ⋮ Stability of a pure random delay system with two-time-scale Markovian switching ⋮ Delay-dependent and delay-independent stability criteria for a delay differential system ⋮ Stability results for a class of difference systems with delay ⋮ Stability of three-parameter systems of two linear differential equations with delay. I ⋮ On stability of linear differential equations with commensurate delayed arguments

Cites Work

• Delay differential equations: with applications in population dynamics
• A note on difference-delay equations
• Introduction to functional differential equations
• The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• On stability of systems of delay differential equations
• Asymptotic stability condition for a class of linear delay difference equations of higher order
• Asymptotic stability for a linear difference system with two delays.
• A note on asymptotic stability of delay difference systems
• The Asymptotic Stability of
• Asymptotic Behaviors of a Linear Difference System with Multiple Delays
• Asyptotics for linear difference equations I:basic theory
• Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
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