Literature cited
N. N. Bogolyubov, Yu. A. Mitropol'skii, and A. M. Samoilenko, The Method of Speeded Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).
E. I. Dinaburg and Ya. G. Sinai, “On the one-dimensional Schrödinger equation with quasiperiodic potential,” Funkts. Anal. Prilozhen.,9, No. 4, 8–21 (1975).
I. N. Blinov, “Analytic representation of solutions of a system of linear differential equations with almost periodic coefficients, depending on a parameter,” Differents. Uravn.,1, No. 8, 1042–1053 (1965).
A. G. Baskakov, “A reducibility theorem for linear differential equations with quasiperiodic coefficients,” Ukr. Mat. Zh.,35, No. 4, 416–421 (1983).
A. R. Johnson and R. G. Sell, “Smoothness of spectral subbundles and reducibility of quasiperiodic linear differential systems,” J. Different. Equat.,41, No. 2, 262–288 (1981).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 12, pp.1669–1680, December, 1989.
Rights and permissions
About this article
Cite this article
Samoilenko, A.M. Reducibility of a system of linear differential equations with quasiperiodic coefficients. Ukr Math J 41, 1438–1449 (1989). https://doi.org/10.1007/BF01056114
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01056114