Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Репозиторій DSpace/Manakin
- Домашня сторінка
- →
- Фізико-технічні та математичні науки
- →
- Відділення математики
- →
- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
- →
- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
- →
- Переглянути статтю
JavaScript is disabled for your browser. Some features of this site may not work without it.
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Інший ID:
2010 Mathematics Subject Classification: 34A05; 34A25
DOI:10.3842/SIGMA.2010.051
DOI:10.3842/SIGMA.2010.051
Посилання:
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.
Підтримка:
This research was supported by the Royal Golden Jubilee Ph.D. Program of Thailand (TRF).
Дата:
2010
Переглядів:
448
Завантажень:
251
Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
Анотація:
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.
