|
|||||
|
|
| 一类重特征方程的Cauchy问题 | |
| 引用本文： | 屈超纯,谢成康. 一类重特征方程的Cauchy问题[J]. 数学学报, 1996, 39(2): 209-218. DOI: cnki:ISSN:05831431.0.1996-02-010 |
| 作者姓名： | 屈超纯 谢成康 |
| 作者单位： | 云南大学应用数学研究室，西南石油学院基础科学部 |
| 基金项目： | 西南石油学院基础研究基金 |
| 摘 要： | 本文引入变型算子．通过变型算子可以改变一类重特征方程的阶，因而变型算子成为研究这类重特征方程的有力工具．作为一个应用，导出了一个二阶重特征方程的非标准Ｃａｕｃｈｙ问题（只给一个初始数据）的解，证明了解的唯一性． |
| 关 键 词： | 重特征方程，变型算子，发散积分的有限部分，非标准Cauchy问题，约阶 |
| 收稿时间： | 1994-02-07 |
| 修稿时间： | 1994-08-04 |
A Class of Equations with Multiple Characteristics |
|
| Qu Chaochun. A Class of Equations with Multiple Characteristics[J]. Acta Mathematica Sinica, 1996, 39(2): 209-218. DOI: cnki:ISSN:05831431.0.1996-02-010 | |
| Authors: | Qu Chaochun |
| Affiliation: | Qu Chaochun(Institute of Applied Mathematics, Yunnan University, Kunming 650091, China)Xie Chengkang(Department of Mathematics & Physics, Southwest Petroluem Institute, Nanchong 637001, China) |
| Abstract: | The type-changed operators are introduced in this paper. The order of a class of partial differential equations with multiple characteristics can be changed through the operators;therefor, such type-changed operators are powerful tools in studying some equations with multiple characteristics.As an example, the solution of the non-standard Cauchy problem (only one initial datum)for an equation of second order with multiple characteristics is gotten, and the uniqueness is proved. |
| Keywords: | equation with multiple characteristics type-changed operator finite part of divergent integral non-standard Cauchy problem restricted order |
| 本文献已被 CNKI 维普 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》下载全文 | |