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EXISTENCE AND STABILITY OF MILD SOLUTIONS OF SEMILINEAR DIFFERENTIAL EQUATIONS IN LOCALLY CONVEX SPACES
http://hdl.handle.net/10131/5537
http://hdl.handle.net/10131/5537ab01b994-9e54-407d-ab0f-546319fbab7c
名前 / ファイル | ライセンス | アクション |
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YMJ_35_N1-2_1987_033-045.pdf (1.1 MB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2009-12-15 | |||||
タイトル | ||||||
タイトル | EXISTENCE AND STABILITY OF MILD SOLUTIONS OF SEMILINEAR DIFFERENTIAL EQUATIONS IN LOCALLY CONVEX SPACES | |||||
言語 | ||||||
言語 | eng | |||||
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 | |||||
著者 |
Agase, S. B.
× Agase, S. B. |
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著者所属 | ||||||
Department of Mathematies, Indian Institute of Technology, Kanpur--208016, India | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A semilinear differential equation of the type $¥dot{u}=Au+f(t, u)$ , $u(a)=z$ $(^{*})$ is considered in locally convex space $X$, for the existence and stability of its mild solutions. $A$ is assumed to be the generator of an equicontinuous $C_{0-}$ semigroup of linear operators and the function $f(¥ell, u)$ satisfies certain condition in terms of the measure of noncompactness. Existence and stability results are obtained via fixed point theorem. Examples are given to illustrate an abstract theory developed here. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 35, 号 1&2, p. 33-45, 発行日 1987 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 00440523 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA0089285X | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 | ||||||
出版者 | Yokohama City University |