First integrals of ordinary linear differential systems
Dynamical Systems
2012-01-20 v1 Classical Analysis and ODEs
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.
Cite
@article{arxiv.1201.4141,
title = {First integrals of ordinary linear differential systems},
author = {V. N. Gorbuzov and A. F. Pranevich},
journal= {arXiv preprint arXiv:1201.4141},
year = {2012}
}
Comments
75 pages