On stability of linear neutral differential equations in the Hale form

DOI10.1016/j.amc.2018.08.010zbMath1428.34099arXiv1902.08252OpenAlexW2890697182MaRDI QIDQ2007648

Elena Braverman, Leonid Berezansky

Publication date: 22 November 2019

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

Full work available at URL: https://arxiv.org/abs/1902.08252

zbMATH Keywords

exponential stabilityasymptotic stabilitysolution estimatesunbounded delaysneutral pantograph equationneutral equations in Hale form

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Neutral functional-differential equations (34K40)

Related Items

Delay-dependent input-output stability conditions for non-autonomous neutral type differential equations in a Banach space, Maximal and minimal nondecreasing bounded solutions of iterative functional differential equations

Cites Work

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• On neutral functional-differential equations with proportional delays
• Delay differential equations: with applications in population dynamics
• Explicit exponential stability conditions for linear differential equations with several delays
• Stability of functional differential equations
• Asymptotic stability for nonautonomous scalar neutral differential equations
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Theory of functional differential equations. 2nd ed
• Exact and discretized stability of the pantograph equation
• The pantograph equation in the complex plane
• Asymptotic stability of certain neutral diffferential equations.
• A new stability test for linear neutral differential equations
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Stability of Neutral Functional Differential Equations
• DIFFERENTIAL EQUATIONS WITH A PERTURBED ARGUMENT
• On the generalized pantograph functional-differential equation
• ASYMPTOTIC STABILITY OF A NEUTRAL DIFFERENTIAL EQUATION
• Stability and Asymptotic Stability of Functional-Differential Equations
• Asymptotic behaviour of functional-differential equations with proportional time delays
• Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$