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Warianty tytułu
Języki publikacji
Abstrakty
The paper presents the theorems about regularity of systems of differential equations. The paper is divided into two parts. The first part contains a theoretical introduction. The second part contains theorems which allows to determine the regularity of the system using the generalized Lyapunov function.
Słowa kluczowe
Rocznik
Tom
Strony
5--20
Opis fizyczny
Bibliogr. 6 poz.
Twórcy
autor
- Institute of Mathematics, Silesian University of Technology, Gliwice, Poland
Bibliografia
- 1. Kulyk A., Kulyk V., Stepanenko N.: Complementation of weak-regular linear extensions of dynamical systems to regular systems. Mat. J. Almaty 39, no. 1 (2011), 74–86 (in Russian).
- 2. Kulyk V.L., Mitropolsky J.A., Samoilenko A.M.: Investigation of dichotomy of linear systems of differential equations using Lyapunov functions. Naukowa Dumka, Kiev 1990 (in Russian).
- 3. Kulyk V., Pączko D.: Selected issues of the qualitative theory of differential equations. Wyd. Pol. Śl., Gliwice 2012 (in Polish).
- 4. Kulyk V., Pączko D.: Certain methods of complementation of linear extensions of dynamic systems to regular systems. Wyd. Pol. Śl., Gliwice 2014, 41–55.
- 5. Kulyk V., Stepanenko N.: Alternating-sign Lyapunov functions in the theory of linear extensions of dynamical systems on a torus. Ukrainian Math. J. 59 (2007), 546–562 (in Russian).
- 6. Samoilenko A.M.: Elements of mathematical theory of multiphase oscillation. Nauka, Moscow 1987 (in Russian).
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6a87ad15-4936-4f6e-af47-3ce937188476