ON EXPONENTIALLY SEPARATED DIFFERENTIAL SYSTEMS

Abstract

Exponentially separated linear homogeneous system of ordinary differential equations with continuous limited coefficients in critical cases of Lyapunov exponents is considered. The generalized exponentially separated linear system of differential equations with regard to a monotonically increasing function is defined. It is established that if a linear homogeneous system of differential equations is generalized exponentially separated, Lyapunov s generalized exponents are stable in a class of small perturbations.