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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B75-14.pdf | 6.69 MB | Adobe PDF | 見る/開く |
| タイトル: | Toward exact WKB analysis of nonlinear eigenvalue problems (New development of microlocal analysis and singular perturbation theory) |
| 著者: | SHIGAKI, Takahiro |
| 著者名の別形: | シガキ, タカヒロ |
| キーワード: | 34E20 34M30 34M60 exact WKB analysis nonlinear eigenvalue problem |
| 発行日: | Jun-2019 |
| 出版者: | Research Institute for Mathematical Sciences, Kyoto University |
| 誌名: | 数理解析研究所講究録別冊 |
| 巻: | B75 |
| 開始ページ: | 177 |
| 終了ページ: | 201 |
| 抄録: | In this paper, we study the nonlinear first order ordinary differential equation which Bender-Fring-Komijani studied as a model equation of nonlinear eigenvalue problems. We announce our recent results on the Borel summability of 0 - parameter solutions of the equation in question, and, by using this result, we show that the Borel sum of a 0 - parameter solution gives a separatrix, a solution which satisfies the boundary condition imposed by Bender - Fring - Komijani. |
| 記述: | "New development of microlocal analysis and singular perturbation theory". October 3-7, 2016. edited by Naofumi Honda and Yasunori Okada. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2019 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/244779 |
| 出現コレクション: | B75 New development of microlocal analysis and singular perturbation theory |
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