Asymptotic stability for a homogeneous singularly perturbed system of differential equations with unbounded delay

DOI10.5802/afst.759zbMath0772.34054OpenAlexW2333349298MaRDI QIDQ5906235

D. D. Bainov, Hristo Dimitrov Voulov

Publication date: 31 August 1993

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1993_6_2_1_97_0

zbMATH Keywords

equiasymptotic stabilityhomogeneous singularly perturbed system of differential equations with unbounded delay

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Existence and stability of solutions of a delay-differential system
• Exponential estimates for singularly perturbed linear functional differential equations
• The asymptotics of solutions of singularly perturbed functional differential equations: distributed and concentrated delays are different
• Exponential asymptotic stability for functional differential equations with infinite retardations
• On the asymptotic stability of differential equations with maxima
• Stability theory by Liapunov's direct method
• Convergence and boundary layers in singularly perturbed linear functional differential equations
• The condition of regular degeneration for singularly perturbed systems of linear differential-difference equations
• The condition of regular degeneration for singularly perturbed linear differential-difference equations
• The application of Lyapunov's method to problems in the stability of systems with delay
• On asymptotic stability of systems with after-effect containing a small parameter as coefficient of the derivatives
• Singular Perturbations on the Infinite Interval
• A Method and New Results for Stability and Instability of Autonomous Functional Differential Equations
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