ID 57
著者
伊東, 由文 College of General Education Tokushima University 徳島大学 教育研究者総覧 KAKEN研究者をさがす
資料タイプ
紀要論文
抄録
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.
掲載誌名
Journal of mathematics, Tokushima University
ISSN
00754293
cat書誌ID
AA00701816
16
開始ページ
25
終了ページ
31
並び順
25
発行日
1982-11-30
備考
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。
EDB ID
64778
フルテキストファイル
言語
eng
部局
理工学系