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Solvability of Difference Riccati Equations by Elementary Operations
http://hdl.handle.net/2261/52397
http://hdl.handle.net/2261/52397778e01e6-564d-4862-93cb-12be1a52570b
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2012-10-22 | |||||
タイトル | ||||||
タイトル | Solvability of Difference Riccati Equations by Elementary Operations | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Nishioka, Seiji
× Nishioka, Seiji |
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著者所属 | ||||||
著者所属 | the Japan Society for the Promotion of Science | |||||
著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We generalize Franke's generalized Liouvillian extension and Karr's ΠΣ-extension, and study solvability of difference Riccati equations. We define the difference field extensions of valuation ring type and prove the following. If a difference Riccati equation which does not turn out to be linear by iterations has a solution in some difference field extension of valuation ring type, then one of the iterated Riccati equations has an algebraic solution. Applying this theorem, we conclude unsolvability of the q-Airy equation and the q-Bessel equation. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 17, 号 2, p. 159-178, 発行日 2010-10-26 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
12H10(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
39A05(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
39A13(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2009-08-12 |