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His basic scientific interests are concentrated on the theory of dynamic systems, the theory of stability, the expert`s systems.
Main publications:
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1. V.M.Gichev, S.M.Dobrovol`skii. On some characteristic properties of the Bloh`s functions.
// Siberian Math. J., 1987, v.28, N1.
2. S.M.Dobrovol`skii, A.S.Kotyurgina and R.K.Romanovskii. Method of Lyapunov`s functions for almost-periodic systems.
// Math. Notes. 1992, v.52, 6, p.10-14.
3. S.M.Dobrovol`skii, R.K.Romanovskii. Stability of solutions of linear systems with almost-periodic matrix.
// Math. Notes. 1997, v.62, 1, p.151-153.
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