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

The Integrals and Last Multipliers of One Class of Partial Differential Systems

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

S. N. Daranchuk

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

daranchuk@tut.by

Abstract:

The spectral method of building of the first integrals and last multipliers for special case of partial differential systems is elaborated. Construction of the first integrals and last multipliers is carried out on linear partial integrals (taking into consideration their weights), that are calculated on common eigenvectors of coefficients matrixes of systems.

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