{"created":"2021-03-01T06:59:53.711681+00:00","id":40293,"links":{},"metadata":{"_buckets":{"deposit":"3706a953-fe7c-483e-9ddb-56151e4c515d"},"_deposit":{"id":"40293","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40293"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040293","sets":["312:6865:7047:7048","9:504:6868:7049:7050"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1997","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"3","bibliographicPageEnd":"647","bibliographicPageStart":"627","bibliographicVolumeNumber":"4","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We give an abstract version of the Cauchy-Kovalevsky Theorem for the equation $ u' = A(t,u)$ where $A $ is a Caratheodory operator having properties based on noncompactness measures, including Lipschitz and compactness conditions. We give an application of this result to the equation $\\partial_{t}^n u + \\sum_{i=1,n} f_{i}(u)B^{(n - i + 1)} \\partial_{t}^{i - 1}u = 0$ that generalizes the Kirchhoff equation for the vibrating string, when $B$ is {\\em not} a compact operator. Our technique is based on Nagumo's weights and on Tonelli delayed problems.","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":"MR1484605"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"35A10(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1996-09-04"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ghisi, Marina"}],"nameIdentifiers":[{"nameIdentifier":"138890","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":"2017-06-27"}],"displaytype":"detail","filename":"jms040307.pdf","filesize":[{"value":"166.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms040307.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40293/files/jms040307.pdf"},"version_id":"0c64bcd6-f49d-41cd-93ed-ac98c97c2303"}]},"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":"The Cauchy-Kovalevsky Theorem and Noncompactness Measures","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The Cauchy-Kovalevsky Theorem and Noncompactness Measures"}]},"item_type_id":"4","owner":"1","path":["7048","7050"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40293","relation_version_is_last":true,"title":["The Cauchy-Kovalevsky Theorem and Noncompactness Measures"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:35.162853+00:00"}