{"created":"2023-06-20T15:10:45.137576+00:00","id":7005,"links":{},"metadata":{"_buckets":{"deposit":"99fad478-9a16-4cb7-88e0-c22135475f7e"},"_deposit":{"created_by":3,"id":"7005","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"7005"},"status":"published"},"_oai":{"id":"oai:ynu.repo.nii.ac.jp:00007005","sets":["616:627:670"]},"author_link":["29988"],"item_6_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2005","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"72","bibliographicPageStart":"59","bibliographicVolumeNumber":"52","bibliographic_titles":[{"bibliographic_title":"Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学"}]}]},"item_6_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_6_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In this paper we apply some basic properties concerning ＄￥alpha＄-times integrated C-cosine functions to deduce a characterization of an exponentially bounded ＄￥alpha＄-times integrated C-cosine function in terms of its Laplace transform, and then use it to show that for each ＄x￥in(￥lambda^{2}-A)^{-1}CX＄ the second order abstract Cauchy problem: ＄t^{￥alpha-1}＄ ＄u^{￥prime￥prime}(t)=Au(t)+_{￥overline{￥Gamma(￥alpha)}}x＄ for ＄t>0,u(O)=u^{￥prime}(0)=0＄ has a unique solution ＄u(￥cdot)＄ which satisfies ＄||u(t)￥Vert,||u^{￥prime￥prime}(t)||￥in O(e^{￥omega t})＄ as ＄ t￥rightarrow￥infty＄ when the closed linear operator ＄A＄ : ＄D(A)￥subset X￥rightarrow X＄ which generates an exponentially bounded ＄￥alpha＄-times integrated C-cosine function ＄C(￥cdot)＄ on a Banach space ＄X＄ with ＄||C(t)||￥leq Me^{￥{vt}＄ for all ＄t￥geq 0＄ and for some fixed ＄M￥omega￥geq 0.Moreover＄ , we show that a closed linear operator in ＄X＄ generates an exponentially bounded ＄￥alpha＄-times integrated C-cosine function on ＄X＄ also generates an exponentially bounded ＄￥underline{￥alpha}＄times integrated C-semigroup on X.","subitem_description_type":"Abstract"}]},"item_6_publisher_35":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Yokohama City University and Yokohama National University"}]},"item_6_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA0089285X","subitem_source_identifier_type":"NCID"}]},"item_6_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00440523","subitem_source_identifier_type":"ISSN"}]},"item_6_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, Fu Jen University,Taipei, Taiwan 24205, R.O.C."}]},"item_6_version_type_18":{"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":"Kuo, Chubg-Cheng"}],"nameIdentifiers":[{"nameIdentifier":"29988","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":"2016-09-26"}],"displaytype":"detail","filename":"YMJ_52_N1_2005_059-072.pdf","filesize":[{"value":"1.0 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"YMJ_52_N1_2005_059-072.pdf","url":"https://ynu.repo.nii.ac.jp/record/7005/files/YMJ_52_N1_2005_059-072.pdf"},"version_id":"8017ea48-99e5-4dd6-8ca7-e2eff25d24bc"}]},"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":"ON EXPONENTIALLY BOUNDED ＄￥alpha＄ -TIMES INTEGRATED C-COSINE FUNCTIONS","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"ON EXPONENTIALLY BOUNDED ＄￥alpha＄ -TIMES INTEGRATED C-COSINE FUNCTIONS"}]},"item_type_id":"6","owner":"3","path":["670"],"pubdate":{"attribute_name":"公開日","attribute_value":"2009-12-15"},"publish_date":"2009-12-15","publish_status":"0","recid":"7005","relation_version_is_last":true,"title":["ON EXPONENTIALLY BOUNDED ＄￥alpha＄ -TIMES INTEGRATED C-COSINE FUNCTIONS"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T18:58:32.181250+00:00"}