Uniform boundedness for delay equations

DOI10.1007/BF01903841zbMath0728.34078OpenAlexW1970712371MaRDI QIDQ804805

Theodore Allen Burton

Publication date: 1990

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01903841

zbMATH Keywords

functional-differential equationsstability theoryLyapunov's direct methoduniform ultimate boundedness

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (6)

Periodic solutions of dissipative functional differential equations ⋮ An example on the asymptotic stability for functional differential equations ⋮ Uniform boundedness with the condition, v ′ t, Xt ≤ −γ(t)w4(m(Xt)) −w5(D(t, Xt)) + M ⋮ Stability and boundedness in difference systems with finite delay ⋮ Asymptotic stability and boundedness for functional differential equations ⋮ Boundedness and periodic solutions in infinite delay systems

Cites Work

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• Unified boundedness, periodicity, and stability in ordinary and functional differential equations
• Liapunov functionals of convolution type
• Stability and periodic solutions of ordinary and functional differential equations
• Functional differential equations and Jensen's inequality
• Stability theorems for nonautonomous functional differential equations by Lyapunov functionals
• Theory of functional differential equations. 2nd ed
• Uniform Asymptotic Stability in Functional Differential Equations

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