{"created":"2021-03-01T06:59:37.655219+00:00","id":40058,"links":{},"metadata":{"_buckets":{"deposit":"5cb9970f-f48e-4b0b-8cae-eb98d75850da"},"_deposit":{"id":"40058","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40058"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040058","sets":["312:6865:6919:6925","9:504:6868:6921:6926"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2010-10-26","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"178","bibliographicPageStart":"159","bibliographicVolumeNumber":"17","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"12H10(MSC2010)"},{"subitem_text_value":"39A05(MSC2010)"},{"subitem_text_value":"39A13(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2009-08-12"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"the Japan Society for the Promotion of Science"},{"subitem_text_value":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Nishioka, Seiji"}],"nameIdentifiers":[{"nameIdentifier":"92512","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-14"}],"displaytype":"detail","filename":"jms170202.pdf","filesize":[{"value":"182.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms170202.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40058/files/jms170202.pdf"},"version_id":"37534457-c8e5-4173-94af-69a0df3b023a"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Solvability of Difference Riccati Equations by Elementary Operations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Solvability of Difference Riccati Equations by Elementary Operations"}]},"item_type_id":"4","owner":"1","path":["6925","6926"],"pubdate":{"attribute_name":"公開日","attribute_value":"2012-10-22"},"publish_date":"2012-10-22","publish_status":"0","recid":"40058","relation_version_is_last":true,"title":["Solvability of Difference Riccati Equations by Elementary Operations"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:00.998053+00:00"}