Lyapunov functions on product spaces and stability theory of delay differential equations

DOI10.1016/0022-247X(91)90045-2zbMath0781.34050MaRDI QIDQ1174788

S. G. Leela, Vangipuram Lakshmikantham, Seenith Sivasundaram

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityboundednessfunctional-differential equationscomparison methodasymptotic stability in terms of two measuresLyapunov functions on certain product spacesstability results in terms of two measures

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

Related Items (15)

Uniform asymptotic stability criteria for functional differential equations in terms of two measures ⋮ Stability theorems for functional differential equations ⋮ On the asymptotic stability for nonautonomous functional differential equations by Lyapunov functionals ⋮ Analysis of the trajectory set of nonlinear dynamics: systems with aftereffect under impulsive disturbances ⋮ Lyapunov-razumikhin functionals and stability theory in terms of two measures for p-nfde ⋮ On the stability of invariant sets of functional differential equations. ⋮ Connected stability analysis of delay systems via the matrix-valued Lyapunov function ⋮ Stability criteria in terms of two measures for functional differential equations ⋮ Stability criteria in terms of two measures for delay differential equations ⋮ On the global exponential stability for functional differential equations ⋮ Stabilization of neutral-type indirect control systems to absolute stability state ⋮ Impulsive set differential equations with delay ⋮ Special issue: Lakshmikantham's legacy: a tribute on his 75th birthday ⋮ A brief biography and survey of collected works of V. Lakshmikantham ⋮ On the asymptotic stability for functional differential equations by Lyapunov functionals

Cites Work

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• Stability in terms of two measures for functional differential equations
• Stability theorems for nonautonomous functional differential equations by Lyapunov functionals
• On nonuniform asymptotic stability for nonautonomous functional differential equations
• Perturbing families of Lyapunov functions and stability in terms of two measures
• On asymptotic stability for nonautonomous differential systems
• On perturbing lyapunov functions
• Uniform Asymptotic Stability in Functional Differential Equations

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