| 某类带参数4n－阶微分算子的一个同胚与线性同胚定理 |
| |
| 引用本文： | 文颖范.某类带参数4n－阶微分算子的一个同胚与线性同胚定理[J].数学学报,1995,38(6). |
| |
| 作者姓名： | 文颖范 |
| |
| 作者单位： | 南京航空航天大学基础数学教研室 |
| |
| 摘 要： | 本文对某类由考察一些物体的运动性状而引出的４ｎ－阶线性非对称或非线性微分算子给出了一个正则性定理。这个定理包含在实（非线性）情形下２个同胚与扩张同胚类，或者在复（线性）情形下３个线性同胚与扩张线性同胚类。这对于揭示某些物体（例如，某些飞行器）在它们运动过程中的双向平稳性是有用的。
|
| 关 键 词： | 同胚，线性同胚，Opial或内插不等式，实（或复）的情形 |
| 收稿时间： | 1993-12-13 |
A Homeomorphism and Linear Homeomorphism Theorem for Certain Type of 4n￣(th)- Order Differential Operator with a Parameter |
| |
| Liu Yingfan.A Homeomorphism and Linear Homeomorphism Theorem for Certain Type of 4n￣(th)- Order Differential Operator with a Parameter[J].Acta Mathematica Sinica,1995,38(6). |
| |
| Authors: | Liu Yingfan |
| |
| Institution: | Liu Yingfan (Nanjing University of Aeronautics & Astrunautics,Nanjing 210016,China) |
| |
| Abstract: | This paper provides a regularity theorem for some 4n￣(th)-order linear nonsymmetric or nonlinear differential operator that arises in considering certain types of moving behaviors of some objects, which includes two homeomorphism and extended homeomorphism classes in real (nolinear) case or contains three linear homeomorphism and extended linear homeomorphism classes in complex (linear) case. It is useful to illustrate some stabilities in both directions of certain objects(such as some flying apparatus)in their moving processes. |
| |
| Keywords: | homeomorphism linear homeomorphism Opial’s or interpolating inequalityt real (or complex)case |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
