V. I. Zalygina, “Lyapunov equivalence of systems with unbounded coefficients”, Tr. Semim. im. I. G. Petrovskogo, 2014, Issue 30,Pages <nobr>161

This article is cited in 3 papers

Lyapunov equivalence of systems with unbounded coefficients

V. I. Zalygina

Abstract: It is shown that any linear system of homogeneous differential equations is Lyapunov equivalent to a system of the same order with piecewise constant coefficients, while a system with a uniformly small perturbation is Lyapunov equivalent to the same system with a piecewise constant perturbation of the same small magnitude.

UDC: 517.926.4