Abstract
For linear difference equations in the space of bounded number sequences, we prove an analog of the Erugin theorem on reducibility and present sufficient conditions for the reducibility of countable linear systems of difference equations with periodic coefficients.
Similar content being viewed by others
References
A. M. Samoilenko and Yu. V. Teplinskii, “On the reductibility of differential equations in the space of bounded number sequences,” Ukr. Mat. Zh., 41, No. 2, 194–201 (1989).
A. M. Samoilenko and Yu. V. Teplinskii, Countable Systems of Differential Equations [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev 1993.
Yu. V. Teplinskii and V. E. Luchik, “On the reducibility of differential equations with pulses in the space of bounded number sequences,” Ukr. Mat. Zh., 42, No. 10, 1376–1382 (1990).
D. I. Martynyuk, Lectures in the Qualitative Theory of Difference Equations [in Russian], Naukova Dumka, Kiev 1972.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Teplinskii, Y.V., Teplinskii, A.Y. On the erugin and floquet-lyapunov theorems for countable systems of difference equations. Ukr Math J 48, 314–321 (1996). https://doi.org/10.1007/BF02372054
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02372054