First integrals of linear differential systems

2008/06/25 by Gorbuzov, V. N., Pranevich, A. F.
#34A30 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0806.4155

Abstract

We investigate the problem of the existence of first integrals for multidimensional and ordinary linear differential systems with constant coefficients. The spectral method of the first integrals basis construction for these systems of linear differential equations is developed.

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