Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 3, Pages 233-247
doi:10.1155/S1048953395000219
Abstract
B.S. Razumikhin's concept in the qualitative theory of systems delay is
clarified and discussed. Various ways of improvements of stability conditions are
considered. The author shows that the guiding role of Lyapunov functions and
demonstrates Razumikhin's method as a practical case of continuous version of
the mathematical induction. Several examples demonstrate the obtained results.