Boundedness in infinite delay systems

DOI10.1016/0022-247X(89)90348-XzbMath0683.34036OpenAlexW2073847931MaRDI QIDQ1824755

Roger H. Hering, Theodore Allen Burton

Publication date: 1989

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(89)90348-x

zbMATH Keywords

Jensen's inequalityLyapunov functionalsfunctional differential equationsVolterra integrodifferential equations

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (2)

Boundedness and periodic solutions in infinite delay systems ⋮ Fréchet phase space for nonlinear infinite delay equations in Banach spaces

Cites Work

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• Unified boundedness, periodicity, and stability in ordinary and functional differential equations
• Existence and stability of solutions of a delay-differential system
• Liapunov-Razumikhin functions and an invariance principle for functional differential equations
• Liapunov functionals of convolution type
• Stability and periodic solutions of ordinary and functional differential equations
• Stability properties of Volterra integrodifferential equations
• Stability theory by Liapunov's direct method
• Stability Criteria for Volterra Equations
• Periodic solutions to functional differential equations
• Volterra integral and differential equations

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