{"created":"2023-07-27T06:55:39.252196+00:00","id":51769,"links":{},"metadata":{"_buckets":{"deposit":"ed3587b4-1d52-451e-86fb-b3057901184a"},"_deposit":{"created_by":18,"id":"51769","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"51769"},"status":"published"},"_oai":{"id":"oai:kanazawa-u.repo.nii.ac.jp:00051769","sets":["2812:2813:4085"]},"author_link":["93237","79982"],"item_9_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-06-06","bibliographicIssueDateType":"Issued"},"bibliographicPageStart":"6p.","bibliographicVolumeNumber":"2017-04-01 - 2022-03-31","bibliographic_titles":[{"bibliographic_title":"令和3(2021)年度 科学研究費補助金 基盤研究(C) 研究成果報告書"},{"bibliographic_title":"2021 Fiscal Year Final Research Report","bibliographic_titleLang":"en"}]}]},"item_9_creator_33":{"attribute_name":"著者別表示","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{}],"nameIdentifiers":[{},{}]}]},"item_9_description_21":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For abstract partial differential equations with time delay in Banach spaces, the linearized stability of steady states is shown, which is applicable to age- or size-structured population models with spatial diffusion and time delay.\nFor optimal harvesting problems for size-structured population models with spatial diffusion, the existence of an optimal control and an optimality condition are shown. In addition, the existence of a measure-valued optimal control is shown for age-structured harvesting models.","subitem_description_type":"Abstract"},{"subitem_description":"バナッハ空間上の抽象的偏微分方程式で，時間遅れを持つモデルに対して，定常解の線形化安定性の結果を得た。これは，年齢構造やサイズ構造を持ち，空間拡散及び時間遅れのある個体数変動モデルに対して応用が可能である。\nサイズ構造と空間拡散のある個体数変動モデルに対する収穫問題で，利益を最大にするという最適収穫問題に対して，最適解の存在と最適解であるための必要条件を得た。また，年齢構造を持つモデルに対する最適収穫問題で，収穫率に有界性を仮定しない場合に測度の最適解が存在することを示した。","subitem_description_type":"Abstract"}]},"item_9_description_22":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"研究課題/領域番号:17K05273, 研究期間(年度):2017-04-01 - 2022-03-31","subitem_description_type":"Other"},{"subitem_description":"出典：研究課題「抽象偏微分方程式の理論: 個体数変動モデルの解析手法として」課題番号17K05273\n（KAKEN：科学研究費助成事業データベース（国立情報学研究所）） \n（https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-17K05273/17K05273seika/）を加工して作成","subitem_description_type":"Other"}]},"item_9_description_5":{"attribute_name":"提供者所属","attribute_value_mlt":[{"subitem_description":"金沢大学理工研究域電子情報通信学系","subitem_description_type":"Other"}]},"item_9_identifier_registration":{"attribute_name":"ID登録","attribute_value_mlt":[{"subitem_identifier_reg_text":"10.24517/00058072","subitem_identifier_reg_type":"JaLC"}]},"item_9_relation_28":{"attribute_name":"関連URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/search/?qm=40177423"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/search/?qm=40177423","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K05273/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K05273/","subitem_relation_type_select":"URI"}},{"subitem_relation_name":[{"subitem_relation_name_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-17K05273/17K05273seika/"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://kaken.nii.ac.jp/ja/report/KAKENHI-PROJECT-17K05273/17K05273seika/","subitem_relation_type_select":"URI"}}]},"item_9_version_type_25":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2023-02-06"}],"displaytype":"detail","filename":"TE-PR-KATO-N-kaken 2022-6p.pdf","filesize":[{"value":"77.3 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"TE-PR-KATO-N-kaken 2022-6p.pdf","url":"https://kanazawa-u.repo.nii.ac.jp/record/51769/files/TE-PR-KATO-N-kaken 2022-6p.pdf"},"version_id":"d7baa251-b287-4e5c-8900-d30600452034"}]},"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":"抽象偏微分方程式の理論: 個体数変動モデルの解析手法として","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"抽象偏微分方程式の理論: 個体数変動モデルの解析手法として"},{"subitem_title":"Theory of abstract partial differential equations -- as a method of analyzing population models","subitem_title_language":"en"}]},"item_type_id":"9","owner":"18","path":["4085"],"pubdate":{"attribute_name":"公開日","attribute_value":"2023-02-06"},"publish_date":"2023-02-06","publish_status":"0","recid":"51769","relation_version_is_last":true,"title":["抽象偏微分方程式の理論: 個体数変動モデルの解析手法として"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-07-27T10:37:32.709990+00:00"}