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On the Abstract Cauchy Problems in the Sense of Fourier Hyperfunctions
https://tokushima-u.repo.nii.ac.jp/records/2000407
https://tokushima-u.repo.nii.ac.jp/records/20004074333fa1c-9bb3-4bbf-a362-96fe42341118
| 名前 / ファイル | ライセンス | アクション |
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KJ00005382384.pdf (267 KB)
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| Item type | 文献 / Documents(1) | |||||||||||
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| 公開日 | 2011-03-17 | |||||||||||
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| アクセス権 | open access | |||||||||||
| 資源タイプ | ||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||
| 出版タイプ | ||||||||||||
| 出版タイプ | VoR | |||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||
| タイトル | ||||||||||||
| タイトル | On the Abstract Cauchy Problems in the Sense of Fourier Hyperfunctions | |||||||||||
| 著者 |
伊東, 由文
× 伊東, 由文
WEKO
1722
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| 抄録 | ||||||||||||
| 内容記述 | In this paper we will study the Fourier hyperfunction solution of the abstract Cauchy problem { Jdu(t)/dt = Au(t), u(0) = a, } where A is a closed linear operator in a complex Banach space X and a ∈ X. The abstract Cauchy problem has been studied by many authors ([1], [2], [7], [8], [9] and the others quoted there). By modifying Ouchi's method, our method of using vector valued Fourier hyperfunctions simplifies the necessary and sufficient conditions for the well-posedness of the abstract Cauchy problem in the generalized sense. As for the notions of Fourier hyperfunctions and vector valued Fourier hyperfunctions we refer [3], [4], [5], [6] and [10]. We wish to express our thanks to Professor H. Yoshizawa for his encouragements and to Subprofessor T. Hirai for his encouragements and suggestions during the preparation of this work. | |||||||||||
| 書誌情報 |
en : Journal of mathematics, Tokushima University 巻 16, p. 25-31, 発行日 1982-11-30 |
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| 収録物識別子タイプ | ISSN | |||||||||||
| 収録物識別子 | 00754293 | |||||||||||
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| 収録物識別子タイプ | NCID | |||||||||||
| 収録物識別子 | AA00701816 | |||||||||||
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| 値 | 公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。 | |||||||||||
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| 識別子 | 64778 | |||||||||||
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| 言語 | eng | |||||||||||
