Asymptotic stability and boundedness for functional differential equations

DOI10.1007/BF02560017zbMath0882.34074OpenAlexW2074523630MaRDI QIDQ4354965

Quichang Huang, Theodore Allen Burton

Publication date: 17 September 1997

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

Full work available at URL: https://doi.org/10.1007/bf02560017

zbMATH Keywords

asymptotic stabilityboundedness of solutionsfunctional differential equationsequi-asymptotic stabilityKrasovski's type Lyapunov functionals

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Cites Work

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• Uniform boundedness with the condition, v ′ t, Xt ≤ −γ(t)w4(m(Xt)) −w5(D(t, Xt)) + M
• Liapunov functions and boundedness and global existence of solutions
• Lyapunov Theory and Perturbations of Differential Equations

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