Year: 2010
Type: preprint
Abstract: We consider a class of linear ODEs of second order with variable coefficients and construct its Lie algebra of Lie group of equivalence transformations. Further we find invariants and differential invariants of this Lie algebra and by using them we formulate criteria of equivalence of the equations under consideration. These criteria enable us to characterize some classes integrable in quadratures.
Source: arXiv (Cornell University)
Authors: Tsyfra, Ivan, Czyzycki, Tomasz
Institution: University of Białystok
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1669011339