ON EXPONENTIALLY SEPARATED DIFFERENTIAL SYSTEMS

Year 2014, Volume: 63 Issue: 2, 101 - 107, 01.08.2014

Tamasha Aldıbekov

https://doi.org/10.1501/Commua1_0000000715

Abstract

Exponentially separated linear homogeneous system of ordinarydifferential equations with continuous limited coe¢ cients in critical cases ofLyapunov exponents is considered. The generalized exponentially separatedlinear system of differential equations with regard to a monotonically increasingfunction is defined.It is established that if a linear homogeneous systemof differential equations is generalized exponentially separated, Lyapunov’sgeneralized exponents are stable in a class of small perturbations

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