Liapunov functionals of convolution type

DOI10.1016/0022-247X(85)90147-7zbMath0587.34042OpenAlexW1993649843MaRDI QIDQ1072697

Theodore Allen Burton, Wadi Elias Mahfoud, Quichang Huang

Publication date: 1985

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(85)90147-7

zbMATH Keywords

stabilityboundednessuniform boundednessuniform stabilityuniform asymptotic stabilityfunctional differential equationsuniform ultimate boundednessfirst order differential equationintegral inequality theoremsLyapunov functionals of convolution type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability of solutions to ordinary differential equations (34D20)

Related Items (8)

General theorems for stability and boundedness for nonlinear functional discrete systems ⋮ Unified boundedness, periodicity, and stability in ordinary and functional differential equations ⋮ Boundedness in infinite delay systems ⋮ Discretization scheme in Volterra integro-differential equations that preserves stability and boundedness ⋮ Boundedness in nonlinear functional differential equations with applications to Volterra integrodifferential equations ⋮ Boundedness and Periodicity of Volterra Systems of Difference Equations ⋮ \(T\)-periodic solutions and a priori bounds ⋮ Uniform boundedness for delay equations

Cites Work

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• Existence and stability of solutions of a delay-differential system
• Stability theory for Volterra equations
• Uniform stabilities for Volterra equations
• Stability Criteria for Volterra Equations

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