Razumikhin's method in the qualitative theory of processes with delay

DOI10.1155/S1048953395000219zbMath0829.34069OpenAlexW1984558460MaRDI QIDQ1897833

A. D. Myshkis

Publication date: 17 January 1996

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47327

zbMATH Keywords

Lyapunov functionalsfunctional differential equations of retarded typeRazumikhin's method

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (7)

A nonlinear version of Halanay's inequality for the uniform convergence to the origin ⋮ Generalised Lyapunov-Razumikhin techniques for scalar state-dependent delay differential equations ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Lyapunov-Razumikhin techniques for state-dependent delay differential equations ⋮ On estimation of rates of convergence in Lyapunov-Razumikhin approach ⋮ Parameter estimation of delay differential equations: an integration-free LS-SVM approach ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay

This page was built for publication: Razumikhin's method in the qualitative theory of processes with delay