Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Expansions of solutions to the equation P₁² by algorithms of power geometry
Репозиторій DSpace/Manakin
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| dc.contributor.author | Bruno, A.D. | |
| dc.contributor.author | Kudryashov, N.A. | |
| dc.date.accessioned | 2017-09-24T13:01:38Z | |
| dc.date.available | 2017-09-24T13:01:38Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | Expansions of solutions to the equation P₁² by algorithms of power geometry / A.D. Bruno, N.A. Kudryashov // Український математичний вісник. — 2009. — Т. 6, № 3. — С. 311-337. — Бібліогр.: 48 назв. — англ. | uk_UA |
| dc.identifier.issn | 1810-3200 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/124362 | |
| dc.description.abstract | Algorithms of Power Geometry allow to find all power expansions of solutions to ordinary differential equations of a rather general type. Among these, there are Painlev´e equations and their generalizations. In the article we demonstrate how to find by these algorithms all power expansions of solutions to the equation P₁² at the points z = 0 and z = ∞. Two levels of the exponential additions to the expansions of solutions near z = ∞ are computed. We also describe an algorithm of computation of a basis of a minimal lattice containing a given set. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Український математичний вісник | |
| dc.title | Expansions of solutions to the equation P₁² by algorithms of power geometry | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
| dc.identifier.udc | 2000 MSC. 34E05, 41A58, 41A60. |
