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AVERAGING AND WEAK CONVERGENCE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS OF THE MCKEAN TYPE
http://hdl.handle.net/10131/5576
http://hdl.handle.net/10131/557621ae7e83-5d1e-420b-9b94-d6c4117a0706
名前 / ファイル | ライセンス | アクション |
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YMJ_38_N1_1990_037-056.pdf (1.7 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 | AVERAGING AND WEAK CONVERGENCE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS OF THE MCKEAN TYPE | |||||
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 |
Narita, K.
× Narita, K. |
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著者所属 | ||||||
Department of Mathematics, Faculty of Technology, Kanagawa University, Rokkakubashi Kanagawa-ku, Yokohama 221, Japan | ||||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | By the averaging method the weak convergence of a parameterized sequence of processes to a limit process is considered for a multi-dimensional SDE of the McKean type having the drift and diffusion coefficients with a polynomial growth condition in the phase variable. A two-dimensional SDE with mean-field containing a small parameter $¥epsilon>0$ is taken as an application, which is a random perturbation of a dynamical system having an equilibrium point $(0,0)$ of the plane as a center. A limit process on time scales of order $ 1/¥epsilon$ is derived and identified for such an equation under the assumption on the existence of a suitable Lyapunov function. | |||||
書誌情報 |
Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学 巻 38, 号 1, p. 37-56, 発行日 1990 |
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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 |