Delay-dependent stability criteria for neutral delay differential and difference equations

DOI10.3934/DCDS.2014.34.4577zbMath1308.34093OpenAlexW2313795964MaRDI QIDQ476568

Jana Hrabalová, Jan Čermák

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.4577

zbMATH Keywords

asymptotic stabilitydelay differential equationdelay difference equationtrapezoidal ruleneutral term

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Related Items (1)

Stability of neutral delay differential equations modeling wave propagation in cracked media

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On stability regions for some delay differential equations and their discretizations
• Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
• Delay-dependent stability of high order Runge-Kutta methods
• Stability switches in a system of linear differential equations with diagonal delay
• On the asymptotic stability of \(\theta\)-methods for delay differential equations
• Stability analysis of one-step methods for neutral delay-differential equations
• Asymptotic stability properties of \(\theta\)-methods for the pantograph equation
• Exact and discretized stability of the pantograph equation
• On the \(\theta\)-method for delay differential equations with infinite lag
• Stability of a critical nonlinear neutral delay differential equation
• Functional-differential equations in Sobolev spaces and related problems of spectral theory
• Stability of solutions of nonlinear equations of the neutral type in the asymptotically critical case
• On the asymptotic behavior of solutions of differential-difference equations of neutral type
• Asymptotic stability and stability switches in a linear integro-differential system
• The stability and asymptotic properties of the  -methods for the pantograph equation
• Delay dependent stability regions of  -methods for delay differential equations
• Asymptotic Stability Barriers for Natural Runge--Kutta Processes for Delay Equations
• Numerical Methods for Delay Differential Equations
• 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

This page was built for publication: Delay-dependent stability criteria for neutral delay differential and difference equations