Liapunov's second method in functional differential equations

DOI10.2748/tmj/1178229533zbMath0471.34055OpenAlexW2042375171MaRDI QIDQ1157454

Junji Kato

Publication date: 1980

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229533

zbMATH Keywords

asymptotic stabilityequiasymptotic stabilityLiapunov function

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (10)

An asymptotic estimation of a function satisfying a differential inequality ⋮ Lyapunov functional method in the stability problem of Volterra integro-differential equations with infinite delay ⋮ On the lyapunov's functionals method for systems with delays ⋮ On the uniform attractivity of solutions of ordinary differential equations by two Lyapunov functions ⋮ Unified boundedness, periodicity, and stability in ordinary and functional differential equations ⋮ On the Stability and Stabilization Problems of Volterra Integro-Differential Equations ⋮ Families of Lyapunov-Krasovskiĭ functionals and stability for functional-differential equations ⋮ On the asymptotic stability for functional differential equations by Lyapunov functionals ⋮ Comparison method and stability problem in functional differential equations ⋮ On the Lyapunov functional in the theory of stability of systems with time-lag

Cites Work

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• Theory of functional differential equations. 2nd ed
• Liapunov-Razumikhin conditions for asymptotic stability in functional differential equations of Volterra type
• 5.—The Uniform Asymptotic Stability of Certain Linear Differential-difference Equations
• Uniform Asymptotic Stability in Functional Differential Equations
• A Method and New Results for Stability and Instability of Autonomous Functional Differential Equations

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