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

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  • Anatoly D. Myshkis

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.

Suggested Citation

  • Anatoly D. Myshkis, 1995. "Razumikhin's method in the qualitative theory of processes with delay," International Journal of Stochastic Analysis, Hindawi, vol. 8, pages 1-15, January.
    • Handle: RePEc:hin:jnijsa:416373
    DOI: 10.1155/S1048953395000219
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