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| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| dcds.2017116.pdf | 121.64 kB | Adobe PDF | 見る/開く |
| タイトル: | Periodic solutions for a prescribed-energy problem of singular hamiltonian systems |
| 著者: | Shibayama, Mitsuru   |
| 著者名の別形: | 柴山, 允瑠 |
| キーワード: | Periodic solutions Hamiltonian systems variational problems |
| 発行日: | May-2017 |
| 出版者: | American Institute of Mathematical Sciences |
| 誌名: | Discrete and Continuous Dynamical Systems- Series A |
| 巻: | 37 |
| 号: | 5 |
| 開始ページ: | 2705 |
| 終了ページ: | 2715 |
| 抄録: | We study the existence of periodic solutions for a prescribed-energy problem of Hamiltonian systems whose potential function has a singularity at the origin like −1/|q|α(q∈RN). It is known that there exist generalized periodic solutions which may have collisions, and the number of possible collisions has been estimated. In this paper we obtain a new estimation of the number of collisions. Especially we show that the obtained solutions have no collision if N ≥ 2 and α > 1. |
| 著作権等: | This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems- Series A following peer review. The definitive publisher-authenticated version Mitsuru Shibayama. Periodic solutions for a prescribed-energy problem of singular Hamiltonian systems. Discrete & Continuous Dynamical Systems - A, 2017, 37 (5) : 2705-2715. is available online at: http://aimsciences.org//article/doi/10.3934/dcds.2017116. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/240720 |
| DOI(出版社版): | 10.3934/dcds.2017116 |
| 出現コレクション: | 学術雑誌掲載論文等 |
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