Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Particular Integrals of Real Autonomous Polynomial Systems of Exact Differential Equations

Author(s):

V. N. Gorbuzov

Grodno State University
Belarus, 230023, Grodno, Ozheshko st., 22

gorbuzov@grsu.unibel.by

Abstract:

Building method of first integrals and last multipliers on the base of particular integrals for polynomial autonomous systems of exact differential equations are elaborated. The notion of particular integral are enlarged becouse of algebraic form of differential system. Building method of first integrals and last multipliers include Darboux's systems. The influense on method of completely integrability are researched.

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