The uniform asymptotic stability of certain neutral differential- difference equations

DOI10.1016/0022-247X(77)90189-5zbMath0403.34062OpenAlexW2021579075MaRDI QIDQ1256115

Richard Datko

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0022-247x(77)90189-5

zbMATH Keywords

Banach SpaceLiapunov FunctionalsN-Dimensional Neutral Differential-Difference SystemsUniform Asymptotic Stability

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) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (2)

Stability criteria for the linear system [Xdot(t) + A(t)X(t—τ) = 0 and an application to a non-linear system] ⋮ On uniform \(h\)-dichotomy of skew-evolution cocycles in Banach spaces

Cites Work

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• Linear autonomous neutral functional differential equations
• Stability of functional differential equations of neutral type
• Asymptotic stability criteria for linear systems of difference- differential equations of neutral type and their discrete analogues
• 5.—The Uniform Asymptotic Stability of Certain Linear Differential-difference Equations
• A class of functional equations of neutral type
• Uniform Asymptotic Stability of Evolutionary Processes in a Banach Space

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