Uniform Asymptotic Stability Via Liapunov-Razumikhin Technique

DOI10.2307/2161276zbMath0831.45011OpenAlexW4254153538MaRDI QIDQ4845981

James H. Liu

Publication date: 22 February 1996

Full work available at URL: https://doi.org/10.2307/2161276

zbMATH Keywords

strongly continuous semigroupHilbert spaceuniform asymptotic stabilityLyapunov-Razumikhin techniquelinear integrodifferential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (3)

Asymptotic properties via an integrodifferential inequality ⋮ On the stability of sets for delayed Kolmogorov-type systems ⋮ On the Lyapunov theory for functional differential equations of fractional order

Cites Work

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• Stability and periodic solutions of ordinary and functional differential equations
• Stability properties of Volterra integrodifferential equations
• Liapunov-Razumikhin conditions for asymptotic stability in functional differential equations of Volterra type
• Liapunov-Razumikhin conditions for stability and boundedness of functional differential equations of Volterra type
• Semigroup Theory and Numerical Approximation for Equations in Linear Viscoelasticity

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