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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, Issue 4, Pages 13–19 (Mi vuu397)  
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
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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
Document Type: Article
UDC: 517.518.65
MSC: 42A75
Language: Russian
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
Citation in format AMSBIB
\Bibitem{BanPop13}
\by I.~N.~Banshchikova, S.~N.~Popova
\paper On the property of the closedness of the set of almost periodic functions
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2013
\issue 4
\pages 13--19
\mathnet{http://mi.mathnet.ru/vuu397}
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