INDICES OF LINEAR SYSTEMS AS BAIRE FUNCTIONS ON DIFFERENT TOPOLOGICAL SPACES

Abstract

The work is devoted to studying Lyapunov's indices of the linear homogeneous and heterogeneous system of differential equations and also Izobov's indices of the linear homogeneous system as the Baire functions on the weight spaces. The conditions for weight function being sufficient that the Lyapunov's indices of the homogeneous and heterogeneous systems should be the functions which don't belong to the first Baire class on the corresponding weight spaces have been found. The analogous investigations have been performed for Izobov's indices in the homogeneous linear system of the differential equations. The work results can find application in the theory of stability and in theory of Lyapunov's indicesAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio