P. A. Shamanaev, “Sufficient conditions reducibility of differential equations system with perturbations of the higher orders to the linear systems with a constant matrix”, Trudy SVMO, 2009, Volume 11, Number 2,Pages <nobr>145

In Middle Volga Mathematical Society

Sufficient conditions reducibility of differential equations system with perturbations of the higher orders to the linear systems with a constant matrix

P. A. Shamanaev

Mordovian State University

Abstract: In the work sufficient conditions are obtained for local reducibility of the ODE systems with perturbations of the higher orders to the linear systems with a zero matrix. The proof is bases on the construction of Lyapounov transformations.

Keywords: ODE systems, local reducibility, Lyapounov transformations.

UDC: 517.9