|
Preprints of the Keldysh Institute of Applied Mathematics, 2011, 060, 19 pp.
(Mi ipmp166)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Power-elliptic expansions of solutions to an ODE
A. D. Bruno
Abstract:
We consider an ordinary differential equation of a very general form. For it, we introduce the notion of a power-elliptic expansion of its solutions and give a method of calculation of the expansion. We show that the first and second Painlevé equations have got such expansions of solution.
Citation:
A. D. Bruno, “Power-elliptic expansions of solutions to an ODE”, Keldysh Institute preprints, 2011, 060, 19 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp166 https://www.mathnet.ru/eng/ipmp/y2011/p60
|
Statistics & downloads: |
Abstract page: | 167 | Full-text PDF : | 92 | References: | 40 |
|