On the reduction principle in the theory of stability of motion
This paper deals with the development of Lyapunov's idea of reducing the problem of stability of the trivial solution of a system of higher-order differential equations to a similar problem for a system of lower order. Special attention is paid to the application of integral manifolds and approximate integral manifolds.
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 12, pp 1861-1868.
Citation Example: Lykova O. B. On the reduction principle in the theory of stability of motion // Ukr. Mat. Zh. - 1993. - 45, № 12. - pp. 1653–1660.