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On Implicit Second-Order Ordinary Differential Equations: Completely Integrable and Clairaut Type
| Title: | On Implicit Second-Order Ordinary Differential Equations: Completely Integrable and Clairaut Type |
| Authors: | Takahashi, M. Browse this author |
| Keywords: | Implicit second-order ordinary differential equation | | completely integrable | | Clairaut-type equation | | Engel–Legendre transformation |
| Issue Date: | Apr-2007 |
| Publisher: | Springer Netherlands |
| Journal Title: | Journal of Dynamical and Control Systems |
| Volume: | 13 |
| Issue: | 2 |
| Start Page: | 273 |
| End Page: | 288 |
| Publisher DOI: | 10.1007/s10883-007-9013-9 |
| Abstract: | In this paper, we give a characterization of implicit second-order ordinary differential equations with smooth complete integrals which we call Clairaut-type equations. Moreover, we consider properties of the Clairaut-type equations and present the duality among special completely integrable equations with respect to Engel–Legendre transformations. |
| Rights: | The original publication is available at www.springerlink.com |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/24429 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 高橋 雅朋
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