On stability regions of the modified midpoint method for a linear delay differential equation

DOI10.1186/1687-1847-2013-177zbMath1390.39047OpenAlexW2153372979WikidataQ59300166 ScholiaQ59300166MaRDI QIDQ1648747

Petr Tomášek, Jana Hrabalová

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-177

zbMATH Keywords

linear delay differential equationconstant delayregions of asymptotic stabilitymodified midpoint method

Mathematics Subject Classification ID

Stability theory for difference equations (39A30)

Related Items

Modified semi-implicit midpoint rule for nonexpansive mappings ⋮ The implicit midpoint rule of nonexpansive mappings and applications in uniformly smooth Banach spaces ⋮ A new viscosity semi-implicit midpoint rule for strict pseudo-contractions and (α, β)-generalized hybrid mappings

Cites Work

• A note on difference-delay equations
• The asymptotic stability of \(x_{n+1}-ax_ n+bx_{n-k}=0\)
• Stability of the trinomial linear difference equations with two delays
• Stability Analysis of Second Order Delay Difference Equations
• Numerical Methods for Delay Differential Equations
• The Asymptotic Stability of
• On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations
• Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
• On the stability of adaptations of Runge-Kutta methods to systems of delay differential equations
• Unnamed Item

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