{"created":"2023-06-20T16:43:08.068750+00:00","id":13931,"links":{},"metadata":{"_buckets":{"deposit":"2e02ccdb-b1e6-4350-88d6-8f7696a70a21"},"_deposit":{"created_by":3,"id":"13931","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"13931"},"status":"published"},"_oai":{"id":"oai:kindai.repo.nii.ac.jp:00013931","sets":["14:2667:2671:2672"]},"author_link":["25570","25573","25574","25577","25578","25575","25576","25571","25572"],"item_8_alternative_title_3":{"attribute_name":"その他（別言語等）のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"Asymptotic analysis of instanton—type solutions"}]},"item_8_biblio_info_21":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-01-01","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"5","bibliographicPageStart":"1","bibliographic_titles":[{"bibliographic_title":"科学研究費助成事業研究成果報告書 (2013. )"}]}]},"item_8_description_33":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"研究成果の概要(和文): 本研究では大きなパラメータを持つ微分方程式の解の大域的性質の解析を完全WKB解析の立場から行った. 本研究で得られた成果は大きく分けて三つ挙げられる.まず, パンルヴェ階層の高次方程式の形式的一般解である指数漸近級数解(インスタントン解)の構成を行った. また, 大きなパラメータをもつ超幾何微分方程式のストークス曲線の位相的形状を方程式のパラメータの条件により分類した. さらに超幾何微分方程式に対してヴォロス係数の決定を行い, それらがボレル総和可能でありボレル和の具体形が求まることを示した. これにより超幾何微分方程式のWKB解に対してパラメータに関するストークス現象が記述可能となった.               研究成果の概要(英文): In this research, we have investigated the global properties of solutions to differential equations with a large parameter from the view point of the exact WKB analysis. There are three main results. Firstly, we have constructed the exponential—asymptotic (instanton—type) solutions, namely general formal solutions, to the equations which belong to the first Painleve hierarchies. Secondly, we have classified the topological types of the Stokes curves of the Gauss equation in terms of the parameters of the equation. Thirdly we have defined and computed explicit forms of the Voros coefficients of Gauss equation with a large parameter and obtained the Borel sums go them. We have obtained the formulas that describe e parametric Stokes phenomena of WKB solutions.","subitem_description_type":"Abstract"}]},"item_8_description_36":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究種目：基盤研究(C);  研究期間：2010～2013;   課題番号：22540210;   研究分野：数物系科学;   科研費の分科・細目：数学・基礎解析学","subitem_description_type":"Other"}]},"item_8_description_37":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"Research Paper","subitem_description_type":"Other"}]},"item_8_description_41":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_8_publisher_14":{"attribute_name":"出版者 名前","attribute_value_mlt":[{"subitem_publisher":"近畿大学"}]},"item_8_relation_11":{"attribute_name":"著者 外部リンク","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/d/r/80159285.ja.html"}]},{"subitem_relation_name":[{"subitem_relation_name_text":"&EMPTY&"}]},{"subitem_relation_name":[{"subitem_relation_name_text":"http://kaken.nii.ac.jp/d/r/80025410.ja.html"}]},{"subitem_relation_name":[{"subitem_relation_name_text":"http://kaken.nii.ac.jp/d/r/10510026.ja.html"}]},{"subitem_relation_name":[{"subitem_relation_name_text":"http://kaken.nii.ac.jp/d/r/60388494.ja.html"}]},{"subitem_relation_name":[{"subitem_relation_name_text":"http://kaken.nii.ac.jp/d/r/00238817.ja.html"}]},{"subitem_relation_name":[{"subitem_relation_name_text":"&EMPTY&"}]},{"subitem_relation_name":[{"subitem_relation_name_text":"http://kaken.nii.ac.jp/d/r/00212019.ja.html"}]},{"subitem_relation_name":[{"subitem_relation_name_text":"http://kaken.nii.ac.jp/d/r/80324599.ja.html"}]}]},"item_8_text_10":{"attribute_name":"著者 役割","attribute_value_mlt":[{"subitem_text_value":"研究代表者"},{"subitem_text_value":"研究分担者"},{"subitem_text_value":"研究分担者"},{"subitem_text_value":"研究分担者"},{"subitem_text_value":"研究分担者"},{"subitem_text_value":"連携研究者"},{"subitem_text_value":"連携研究者"},{"subitem_text_value":"連携研究者"},{"subitem_text_value":"連携研究者"}]},"item_8_text_7":{"attribute_name":"著者(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"AOKI, Takashi"},{"subitem_text_language":"en","subitem_text_value":"SUZUKI, Takao"},{"subitem_text_language":"en","subitem_text_value":"IZUMI, Shuzo"},{"subitem_text_language":"en","subitem_text_value":"MATSUI, Yutaka"},{"subitem_text_language":"en","subitem_text_value":"NAKAMURA, Yayoi"},{"subitem_text_language":"en","subitem_text_value":"HONDA, Naofumi"},{"subitem_text_language":"en","subitem_text_value":"KAWAI, Takahiro"},{"subitem_text_language":"en","subitem_text_value":"TAKEI, Yoshitsugu"},{"subitem_text_language":"en","subitem_text_value":"KOIKE, Tatsuya"}]},"item_8_text_8":{"attribute_name":"著者 所属","attribute_value_mlt":[{"subitem_text_value":"近畿大学理工学部; 教授"},{"subitem_text_value":"近畿大学理工学部; 講師"},{"subitem_text_value":"近畿大学理工学部; 研究員"},{"subitem_text_value":"近畿大学理工学部; 准教授"},{"subitem_text_value":"近畿大学理工学部准教授"},{"subitem_text_value":"北海道大学大学院理学系研究院; 准教授"},{"subitem_text_value":"京都大学数理解析研究所; 名誉教授"},{"subitem_text_value":"京都大学数理解析研究所; 准教授"},{"subitem_text_value":"神戸大学大学院理学研究科; 准教授"}]},"item_8_version_type_12":{"attribute_name":"版","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"青木,  貴史"},{"creatorName":"アオキ, タカシ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{},{}]},{"creatorNames":[{"creatorName":"鈴木,  貴雄"},{"creatorName":"スズキ, タカオ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"泉,  脩藏"},{"creatorName":"イズミ, シュウゾウ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"松井,  優"},{"creatorName":"マツイ, ユタカ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"中村, 　弥生"},{"creatorName":"ナカムラ, ヤヨイ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"本多, 　尚文"},{"creatorName":"ホンダ, ナオフミ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"河合, 　隆裕"},{"creatorName":"カワイ, タカヒロ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"竹井, 　義次"},{"creatorName":"タケイ, ヨシツグ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"小池, 　達也"},{"creatorName":"コイケ, タツヤ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-03-31"}],"displaytype":"detail","filename":"KAKEN_22540210seika.pdf","filesize":[{"value":"262.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"KAKEN_22540210seika.pdf","url":"https://kindai.repo.nii.ac.jp/record/13931/files/KAKEN_22540210seika.pdf"},"version_id":"febbc468-f4f0-4eee-935c-ecf4bc12f865"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"インスタントン解","subitem_subject_scheme":"Other"},{"subitem_subject":"WKB解","subitem_subject_scheme":"Other"},{"subitem_subject":"パンルヴェ階層","subitem_subject_scheme":"Other"},{"subitem_subject":"超幾何微分方程式","subitem_subject_scheme":"Other"},{"subitem_subject":"ヴォロス係数","subitem_subject_scheme":"Other"},{"subitem_subject":"ストークス現象","subitem_subject_scheme":"Other"},{"subitem_subject":"擬微分作用素","subitem_subject_scheme":"Other"},{"subitem_subject":"核関数","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"research report","resourceuri":"http://purl.org/coar/resource_type/c_18ws"}]},"item_title":"インスタントン解の漸近解析","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"インスタントン解の漸近解析"}]},"item_type_id":"8","owner":"3","path":["2672"],"pubdate":{"attribute_name":"公開日","attribute_value":"2014-09-29"},"publish_date":"2014-09-29","publish_status":"0","recid":"13931","relation_version_is_last":true,"title":["インスタントン解の漸近解析"],"weko_creator_id":"3","weko_shared_id":-1},"updated":"2023-06-20T23:07:24.807648+00:00"}