| ID | 64006 |
| フルテキストURL | |
| 著者 |
Kametaka, Yoshinori
Faculty of Engineering Science, Osaka University
Watanabe, Kohtaro
Department of Computer Science, National Defense Academy
Nagai, Atsushi
Department of Computer Sciences, College of Liberal Arts, Tsuda University
Takemura, Kazuo
College of Science and Technology, Nihon University
Yamagishi, Hiroyuki
Tokyo Metropolitan College of Industrial Technology
|
| 抄録 | We consider the boundary value problem for fourth order linear ordinary differential equation in a half line (0,∞), which represents bending of a beam on an elastic foundation under a tension. A tension is relatively stronger than a spring constant of elastic foundation. We here treat four self-adjoint boundary conditions, clamped, Dirichlet, Neumann and free edges, at x = 0. We show the positivity and the hierarchical structure of four Green functions.
|
| キーワード | Green function
boundary value problem
positivity
hierarchical structure
|
| 備考 | Mathematics Subject Classification. Primary 34B27; Secondary 34B05.
|
| 発行日 | 2023-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 65巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 145
|
| 終了ページ | 173
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
|
| 著作権者 | Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University
|
| 論文のバージョン | publisher
|
| 査読 |
有り
|
| Submission Path | mjou/vol65/iss1/8
|
