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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, Issue 4, Pages 13–19
(Mi vuu397)
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MATHEMATICS
On the property of the closedness of the set of almost periodic functions
I. N. Banshchikova, S. N. Popova Department of Differential Equations, Udmurt State University, ul. Universitetskaya, 1, Izhevsk, 426034, Russia
Abstract:
We study the property of the closedness of the set of uniformly almost periodic functions with respect to the operation of addition. It is shown that the proof of this property found in the monograph by B. P. Demidovich “Lectures on the mathematical theory of stability” is not quite correct. A valid proof is given.
Keywords:
almost periodic functions, closedness.
Received: 28.10.2013
Citation:
I. N. Banshchikova, S. N. Popova, “On the property of the closedness of the set of almost periodic functions”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 4, 13–19
Linking options:
https://www.mathnet.ru/eng/vuu397 https://www.mathnet.ru/eng/vuu/y2013/i4/p13
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Abstract page: | 240 | Full-text PDF : | 140 | References: | 51 | First page: | 1 |
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