Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2014 / Cilt: 63 - Sayı: 2
ON EXPONENTIALLY SEPARATED DIFFERENTIAL SYSTEMS
- Pages
- 101–107
- DOI
- —
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