On regularity of linear systems of differential equations

• Autorzy: Morawiak, M.
• Języki publikacji: EN

Abstrakty

EN

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

PL

równanie różniczkowe; układ równań

EN

differential equations; regular system

• Czasopismo: Silesian Journal of Pure and Applied Mathematics
• Rocznik: 2018
• Tom: Vol. 8, iss. 1
• Strony: 5--20
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Morawiak, M.

• 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).