On the existence of simple Liapunov functions for linear retarded difference-differential equations

DOI10.2748/tmj/1178229644zbMath0446.34070OpenAlexW1989384564MaRDI QIDQ1145815

Ettore Ferrari Infante, John Andrew Walker, Luis Antonio Viera Carvalho

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/1178229644

zbMATH Keywords

asymptotic stabilityLiapunov functionslinear retarded difference-differential equations

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)

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Cites Work

• Stability theory and the existence of periodic solutions and almost periodic solutions
• Linear differential systems with small delays
• Theory of functional differential equations. 2nd ed
• A Liapunov functional for a matrix difference-differential equation
• Dynamical systems and stability
• The application of Lyapunov's method to problems in the stability of systems with delay
• A Liapunov functional for a scalar differential difference equation
• Functional differential equations
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