First integrals of ordinary linear differential systems

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...

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Bibliographic Details
Published in:arXiv.org 2012-01
Main Authors: Gorbuzov, V N, Pranevich, A F
Format: Article
Language:English
Subjects:
Integrals
Mathematical analysis
Spectral methods
Online Access:Get full text
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Summary: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.
ISSN:2331-8422