Linearized stability for a class of neutral functional differential equations with state-dependent delays

DOI10.1016/j.na.2007.07.004zbMath1163.34048OpenAlexW2006359132MaRDI QIDQ938725

Ferenc Hartung

Publication date: 27 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.004

zbMATH Keywords

exponential stabilitylinearizationneutral equationstate-dependent delay

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)

Related Items (5)

Linearized stability for semiflows generated by a class of neutral equations, with applications to state-dependent delays ⋮ Результаты существования для функционально возмущенных дифференциальных уравнений дробного порядка с запаздыванием в банаховых пространствах ⋮ Positivity and stability for nondensely defined partial neutral functional differential equations ⋮ More on linearized stability for neutral equations with state-dependent delays ⋮ Lyapunov stability analysis for nonlinear systems with state-dependent state delay

Uses Software

• DKLAG6
• RADAR5

Cites Work

• Linearized stability in functional differential equations with state-dependent delays
• Differentiability of solutions with respect to parameters in neutral differential equations with state-dependent delays
• Instability of nonautonomous state-dependent delay integro-differential systems
• On the Synge equations in a three-dimensional two-body problem of classical electrodynamics
• Strong contractivity properties of numerical methods for ordinary and delay differential equations
• Introduction to functional differential equations
• DKLAG6: A code based on continuously imbedded sixth-order Runge-Kutta methods for the solution of state-dependent functional differential equations
• On existence, uniqueness and numerical approximation for neutral equations with state-dependent delays
• The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
• Making the numerical abscissa negative for a class of neutral equations
• Linearized stability in periodic functional differential equations with state-dependent delays
• Existence of periodic solutions in neutral state-dependent delays equations and models
• Parameter identification in classes of neutral differential equations with state-dependent delays
• Exponential stability of a state-dependent delay system
• Sharpness results for state dependent delay differential equations: An overview
• Topological transversality and periodic solutions of neutral functional differential equations
• Invariance and Noninvariance of Center Manifolds of Time-tMaps with Respect to the Semiflow
• The Numerical Integration of Neutral Functional‐Differential Equations by Fully Implicit One‐Step Methods
• On the problem of linearization for state-dependent delay differential equations
• On stability properties for neutral differential equations with state-dependent delay
• Implementing Radau IIA methods for stiff delay differential equations
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