| 一类重特征方程的Cauchy问题 |
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| 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. |
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| 作者姓名： | 屈超纯 谢成康 |
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| 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 |
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| 基金项目： | 西南石油学院基础研究基金 |
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| 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．
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| 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： | 1994-2-7 |
| 修稿时间： | 1994-8-4 |
A Class of Equations with Multiple Characteristics |
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| Qu Chaochun.A Class of Equations with Multiple Characteristics[J].Acta Mathematica Sinica,1996,39(2):209-218. |
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| Authors: | Qu Chaochun |
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| Institution: | Qu Chaochun(Institute of Applied Mathematics, Yunnan University, Kunming 650091, China)Xie Chengkang(Department of Mathematics & Physics, Southwest Petroluem Institute, Nanchong 637001, China) |
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| 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. |
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| Keywords: | equation with multiple characteristics type-changed operator finite part of divergent integral non-standard Cauchy problem restricted order |
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