This article is cited in 5 papers

MATHEMATICS

On a class of Weyl almost periodic selections of multivalued maps

L. I. Danilov

Physical-Technical Institute of the Ural Branch of the Russian Academy of Sciences, Izhevsk

Abstract: We consider a class of Weyl almost periodic functions for which the set of $\varepsilon$-almost the periods defined by means of the Weyl pseudometric is relatively dense for all $\varepsilon>0$. For this class of functions, under certain additional restrictions we prove the existence of almost periodic selections of almost periodic multivalued maps.

Keywords: almost periodic function, selection, multimap.

UDC: 517.518.6

MSC: 42A75, 54C65

Received: 22.09.2008

DOI: 10.20537/vm090102

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