Asymptotic stability of the solutions of a linear singularity perturbed system with unbounded delay

DOI10.1016/0022-247X(91)90001-GzbMath0724.34082MaRDI QIDQ2644836

D. D. Bainov, Hristo Dimitrov Voulov

Publication date: 1991

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilityregular degenerationlinear singularly perturbed system of differential equations with unbounded delay

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (2)

Exponential stability of a class of nonlinear singularly perturbed systems with delayed impulses ⋮ Exponential stability of a class of singularly perturbed stochastic time-delay systems with impulse effect

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
• 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 linear differential-difference equations
• On asymptotic stability of systems with after-effect containing a small parameter as coefficient of the derivatives
• Singular Perturbations on the Infinite Interval
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