- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Volume:63 Issue:2
- ON EXPONENTIALLY SEPARATED DIFFERENTIAL SYSTEMS
ON EXPONENTIALLY SEPARATED DIFFERENTIAL SYSTEMS
Authors : Tamasha ALDIBEKOV
Pages : 101-107
Doi:10.1501/Commua1_0000000715
View : 17 | Download : 15
Publication Date : 2014-08-01
Article Type : Research Paper
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 perturbationsKeywords :