This article is cited in 6 papers

The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory)

V. V. Zhikov

Vladimir Polytechnical Institute

Abstract: The linear equation $u'=A(t)u+f(t)$ with almost periodic coefficients is investigated in euclidean space. It is proved that if it has a bounded solution, then it has a Levitan almost-periodic function as a “limit” solution.

UDC: 513.88

Received: 14.12.1969

 English version: Mathematical Notes, 1971, 9, 235–238

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