Pacific national university Main page Bulletin of Pacific national university

UDC 517.91, 519.21

© E. V. Karachanskaya, 2011

CONSTRUCTION OF THE FULL SET OF THE DIFFERENTIAL EQUATION SYSTEMS WITH PRESCRIBED FIRST INTEGRAL COLLECTION

A new construction algorithm for the set of the diffrrential equation (ordinary and stochastic) systems is proposed. For which the prescribed set of independent functions presents the set of the first integrals. We prove that the set of the diffrrential equation systems is full.

Keywords: the first integral, ordinary diffrrential equation, stochastic diffrrential equation, algorithm of the construction.

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