This article is cited in 4 papers

In Middle Volga Mathematical Society

Stability of zero solution of periodic system of differential equations with small parameter

V. V. Abramov

Ryazan State University S. A. Esenin

Abstract: By properties of monodromy operator it is received sufficient conditions of boundedness of solution with small initial values if parameter is small. It was investigated the norm stability problem coordinated with choice admissible value of the perturbation.

Keywords: ODE system, stability, operator of monodromy, norm of matrix.

UDC: 517.925

Received: 10.12.2010