{"created":"2023-05-15T12:30:56.519479+00:00","id":511,"links":{},"metadata":{"_buckets":{"deposit":"ecc59235-bd16-4a98-b68e-0b5f846b0954"},"_deposit":{"created_by":2,"id":"511","owners":[2],"pid":{"revision_id":0,"type":"depid","value":"511"},"status":"published"},"_oai":{"id":"oai:fit.repo.nii.ac.jp:00000511","sets":["256:257:311"]},"author_link":["2495","2496","2494"],"item_3_alternative_title_23":{"attribute_name":"タイトル（ヨミ）","attribute_value_mlt":[{"subitem_alternative_title":"カクリツ ビブン ホウテイシキ ノ チクジ キンジカイ ノ シュウソク ジョウケン ニ カンスル コウサツ"}]},"item_3_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"16","bibliographicPageStart":"13","bibliographicVolumeNumber":"44","bibliographic_titles":[{"bibliographic_title":"福岡工業大学研究論集"}]}]},"item_3_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_3_description_47":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"論文(Article)","subitem_description_type":"Other"}]},"item_3_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"We consider the problem of successive approximation for solutions of stochastic differential equations. It is well known that in Ito’s classical theory of stochastic differential equations with Lipschitz continuous coefficients, the successive approximation method plays an essential role in the construction of solutions as well as in the uniqueness problem. We show that conditions which guarantee pathwise uniqueness of solutions also imply the convergence of successive approximations to the solutions in quadratic mean. The proof is due to a result from the theory of ordinary differential equations. To ensure the pathwise uniquness of the solutions we need to impose the conditions on the variation of the function σ(t，x)relative to (t，x).","subitem_description_type":"Other"}]},"item_3_full_name_2":{"attribute_name":"著者(ヨミ)","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"2495","nameIdentifierScheme":"WEKO"}],"names":[{"name":"カワバタ, シゲトク"}]}]},"item_3_full_name_3":{"attribute_name":"別言語の著者","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"2496","nameIdentifierScheme":"WEKO"}],"names":[{"name":"KAWABATA, Shigetoku"}]}]},"item_3_publisher_37":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"福岡工業大学"}]},"item_3_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"02876620","subitem_source_identifier_type":"ISSN"}]},"item_3_text_18":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_text_value":"851893 bytes"}]},"item_3_text_38":{"attribute_name":"出版者（ヨミ）","attribute_value_mlt":[{"subitem_text_value":"フクオカ コウギョウ ダイガク"}]},"item_3_text_48":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_3_text_49":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_3_text_50":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_3_text_51":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"01"}]},"item_3_version_type_19":{"attribute_name":"著者版フラグ","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":"川畑, 茂徳"}],"nameIdentifiers":[{"nameIdentifier":"2494","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":"2020-09-14"}],"displaytype":"detail","filename":"11478-1287_p13.pdf","filesize":[{"value":"851.9 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"11478-1287_p13.pdf","url":"https://fit.repo.nii.ac.jp/record/511/files/11478-1287_p13.pdf"},"version_id":"f79f4a41-d172-41e7-a148-39175f3aaf67"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"stochastic differential equations","subitem_subject_scheme":"Other"},{"subitem_subject":"pathwise uniqueness","subitem_subject_scheme":"Other"},{"subitem_subject":"successive approximation","subitem_subject_scheme":"Other"},{"subitem_subject":"stochastic differential equations","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"pathwise uniqueness","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"successive approximation","subitem_subject_language":"en","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"確率微分方程式の逐次近似解の収束条件に関する考察","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"確率微分方程式の逐次近似解の収束条件に関する考察"},{"subitem_title":"On the successive approximation of solutions of stochastic differential equations","subitem_title_language":"en"}]},"item_type_id":"3","owner":"2","path":["311"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-05-28"},"publish_date":"2019-05-28","publish_status":"0","recid":"511","relation_version_is_last":true,"title":["確率微分方程式の逐次近似解の収束条件に関する考察"],"weko_creator_id":"2","weko_shared_id":2},"updated":"2023-05-15T13:55:35.929726+00:00"}