Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations

Домашня сторінка
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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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dc.contributor.author	Nakpim, W.
dc.contributor.author	Meleshko, S.V.
dc.date.accessioned	2019-02-09T09:13:55Z
dc.date.available	2019-02-09T09:13:55Z
dc.date.issued	2010
dc.identifier.citation	Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations / W. Nakpim, S.V. Meleshko // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 9 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34A05; 34A25
dc.identifier.other	DOI:10.3842/SIGMA.2010.051
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146348
dc.description.abstract	The linearization problem of a second-order ordinary differential equation by the generalized Sundman transformation was considered earlier by Duarte, Moreira and Santos using the Laguerre form. The results obtained in the present paper demonstrate that their solution of the linearization problem for a second-order ordinary differential equation via the generalized Sundman transformation is not complete. We also give examples which show that the Laguerre form is not sufficient for the linearization problem via the generalized Sundman transformation.	uk_UA
dc.description.sponsorship	This research was supported by the Royal Golden Jubilee Ph.D. Program of Thailand (TRF).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA