On the asymptotic stability in functional differential equations

DOI10.1090/S0002-9939-99-05094-7zbMath0917.34059OpenAlexW1687200605MaRDI QIDQ4235593

Alexander Olegovich Ignatyev

Publication date: 22 March 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05094-7

zbMATH Keywords

asymptotic stabilityLyapunov functionalsfunctional-differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (12)

On the stability of impulsive functional differential equations with infinite delays ⋮ A generalization of Barbashin-Krasovski theorem ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ On necessary conditions for global asymptotic stability of equilibrium for the Liénard equation ⋮ On the stability of invariant sets of functional differential equations. ⋮ Global stability of a class of non-autonomous delay differential systems ⋮ Asymptotic stability and instability criteria for nonautonomous systems ⋮ A weaker criterion of asymptotic stability ⋮ The Lyapunov functionals method in stability problems for functional differential equations ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay ⋮ Using an analog of the Lyapunov function with sign-alternating derivative in the study of global asymptotic stability of equilibria ⋮ On the partial equiasymptotic stability in functional differential equations

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