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Matematicheskie Zametki, 1971, Volume 9, Issue 4, Pages 409–414
(Mi mzm7023)
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This article is cited in 6 scientific papers (total 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.
Received: 14.12.1969
Citation:
V. V. Zhikov, “The existence of Levitan almost-periodic solutions of linear systems (second complement to Favard's classical theory)”, Mat. Zametki, 9:4 (1971), 409–414; Math. Notes, 9 (1971), 235–238
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https://www.mathnet.ru/eng/mzm7023 https://www.mathnet.ru/eng/mzm/v9/i4/p409
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