Lyapunov functions on product spaces and stability theory of delay differential equations
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Publication:1174788
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)
stabilityboundednessfunctional-differential equationscomparison methodasymptotic stability in terms of two measuresLyapunov functions on certain product spacesstability results in terms of two measures
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
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- Stability theorems for nonautonomous functional differential equations by Lyapunov functionals
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- 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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