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Title of Article

SELECTION SYSTEMS ON A COUNTABLE-DIMENSIONAL SIMPLEX


Issue
3
Date
2011

Article type
scientific article
UDC
517.2
Pages
92-98
Keywords
countable-dimensional simplex, rigorous selection, homogeneous function


Authors
Kuzenkov Oleg Anatolevich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Novozhenin Aleksey Vladimirovich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
System properties on a standard countable-dimensional simplex are studied. Conditions and methods to transform systems on a standard countable-dimensional simplex are given. Necessary and sufficient conditions of selection for autonomous and non-autonomous systems on a standard countable-dimensional simplex, in particular, an integral selection criterion, are proved.

File (in Russian)