Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
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 fo...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146348 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146348 |
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Nakpim, W. Meleshko, S.V. 2019-02-09T09:13:55Z 2019-02-09T09:13:55Z 2010 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. 1815-0659 2010 Mathematics Subject Classification: 34A05; 34A25 DOI:10.3842/SIGMA.2010.051 https://nasplib.isofts.kiev.ua/handle/123456789/146348 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. This research was supported by the Royal Golden Jubilee Ph.D. Program of Thailand (TRF). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations |
| spellingShingle |
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations Nakpim, W. Meleshko, S.V. |
| title_short |
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations |
| title_full |
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations |
| title_fullStr |
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations |
| title_full_unstemmed |
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations |
| title_sort |
linearization of second-order ordinary differential equations by generalized sundman transformations |
| author |
Nakpim, W. Meleshko, S.V. |
| author_facet |
Nakpim, W. Meleshko, S.V. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146348 |
| citation_txt |
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. |
| work_keys_str_mv |
AT nakpimw linearizationofsecondorderordinarydifferentialequationsbygeneralizedsundmantransformations AT meleshkosv linearizationofsecondorderordinarydifferentialequationsbygeneralizedsundmantransformations |
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2025-11-30T14:14:02Z |
| last_indexed |
2025-11-30T14:14:02Z |
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1850857799288881152 |