Asymptotic stability and the derivatives of solutions of functional differential equations

DOI10.1216/rmjm/1181072472zbMath0806.34071OpenAlexW2065140994MaRDI QIDQ1335228

Tingxiu Wang

Publication date: 27 September 1994

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072472

zbMATH Keywords

asymptotic stabilityLyapunov functionalLyapunov's second methodnonlinear functional-differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items (6)

Asymptotic stability for quasi-linear systems whose linear approximation is not assumed to be uniformly attractive ⋮ Global asymptotic stability for damped half-linear oscillators ⋮ Asymptotic stability and boundedness for functional differential equations ⋮ On the asymptotic stability by lyapunov functionals with semidefinite derivatives ⋮ On the asymptotic stability for functional differential equations by Lyapunov functionals ⋮ Integral equations with a delay

Cites Work

• Existence and stability of solutions of a delay-differential system
• 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
• Equivalent conditions on stability of functional differential equations
• Theory of functional differential equations. 2nd ed
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