Lyapunov theory for functional differential equations

DOI10.1216/rmjm/1181072449zbMath0806.34067OpenAlexW2039683847MaRDI QIDQ1335201

Roger H. Hering, Theodore Allen Burton

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/1181072449

zbMATH Keywords

uniform asymptotic stabilityLyapunov's second methodsystem of functional-differential equations

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Related Items

On the stability and boundedness of solutions of a class of nonautonomous differential equations of second order with multiple deviating arguments, Asymptotic stability and boundedness for functional differential equations, New qualitative results for solutions of functional differential equations of second order, On the asymptotic behavior of the solutions of third order delay differential equations, On the boundedness of solutions of third-order delay differential equations, On the asymptotic stability for functional differential equations by Lyapunov functionals, Integral equations with a delay, Unnamed Item

Cites Work

• Functional differential equations and Jensen's inequality
• Stability theorems for nonautonomous functional differential equations by Lyapunov functionals
• Theory of functional differential equations. 2nd ed
• Stability conditions for linear nonautonomous delay differential equations
• Uniform Asymptotic Stability in Functional Differential Equations
• On the asymptotic stability in terms of two measures for functional differential equations
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