2017
Том 69
№ 9

All Issues

On the reduction principle in the theory of stability of motion

Lykova O. B.

Full text (.pdf)


Abstract

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.

Full text