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Title of Article

DIFFERENTIAL EQUATION SYSTEMS ON A COUNTABLE-DIMENSIONAL SIMPLEX


Issue
3
Date
2009

Section
MATHEMATICAL MODELING. ОPTIMAL CONTROL

Article type
scientific article
UDC
517.2
Pages
145-151
Keywords
countable-dimensional simplex, positive solution, quasipositivity, positive homogeneity


Authors
Kuzenkov O.A.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Novozhenin A.V.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
A non-negativity criterion of the differential equation system solution in the space and a criterion of phase coordinate sum preservation are proved. System properties on a standard countable-dimensional simplex are studied. The conditions and methods to transform the differential equation system in the space to the system on a standard countable-dimensional simplex are given

File (in Russian)