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

Autonomy and Cylindricality of R-Differentiable Integrals for Systems in Total Differentials

Author(s):

Viktor Gorbuzov

Department of mathematical analysis,
differential equations and algebra,
Faculty of Mathematics and Information Science,
Yanka Kupala State University of Grodno,
Ozeshko str. 22, Grodno,
Republic of Belarus, 230023

gorbuzov@grsu.by

A. F. Pranevich

Grodno State university of J.Kupala.
230023, Belarus, Grodno,
Ogeshko st., 22

pronevich@tut.by

Abstract:

We consider the systems of equations in total differentials with R-differentiable right hand side. The necessary conditions and criteria for the existence of R-differentiable first integrals, partial integrals and last multipliers are given.

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