On the reduction principle in the theory of stability of motion

Authors

  • O. B. Lykova

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.

Published

25.12.1993

Issue

Section

Research articles

How to Cite

Lykova, O. B. “On the Reduction Principle in the Theory of Stability of Motion”. Ukrains’kyi Matematychnyi Zhurnal, vol. 45, no. 12, Dec. 1993, pp. 1653–1660, https://umj.imath.kiev.ua/index.php/umj/article/view/5973.