First integrals of ordinary linear differential systems

2012/01/19 by V. N. Gorbuzov, Gorbuzov, V. N., A. F. Pranevich +1
Mathematics · #34A30 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #math.CA #math.DS #msc:34A30

paper · pdf · doi:10.48550/arxiv.1201.4141

75 pages

arxiv created 2012/01/19 · arxiv updated 2012/01/20

Abstract

The spectral method for building first integrals of ordinary linear differential systems is elaborated. Using this method, we obtain bases of first integrals for linear differential systems with constant coefficients, for linear nonautonomous differential systems integrable in closed form (algebraic reducible systems, triangular systems, the Lappo-Danilevskii systems), and for reducible ordinary differential systems with respect to various transformation groups.

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