This article is cited in 4 papers

Application of an arbitrarily rapidly convergent method to the reducibility problem for linear systems with odd almost-periodic coefficients

I. N. Blinov


Abstract: We consider a method of successive substitution generalizing the known Kolmogorov–Arnol'd method so as to be applicable in a proof of the reducibility of linear systems with odd almost-periodic coefficients. We prove that our method can be made to converge arbitrarily rapidly. The method is used to solve a problem that cannot be solved by the Kolmogorov–Arnol'd method because of the relatively slow convergence of the latter.mplex.

UDC: 517.9

Received: 16.12.1967

 English version: Mathematical Notes, 1968, 4:6, 927–933

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