| 二阶退化双曲型方程组的Darboux型问题 |
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| 引用本文： | 闻国椿,侯仁民.二阶退化双曲型方程组的Darboux型问题[J].烟台大学学报(自然科学与工程版),2007,20(2):79-85. |
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| 作者姓名： | 闻国椿 侯仁民 |
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| 作者单位： | 1. 北京大学,数学学院,北京,100871
2. 烟台大学,数学与信息科学学院,山东,烟台,264005 |
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| 摘 要： | 讨论了二阶退化双曲型方程组的Darboux型问题.文中先给出这个问题解的表示式,然后使用复分析方法,证明了此问题解的存在性和唯一性.
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| 关 键 词： | 退化双曲型方程组 Darboux型问题 解的存在唯一性 |
| 文章编号： | 1004-8820（2007）02-0079-07 |
| 收稿时间： | 2006-10-18 |
| 修稿时间： | 2006-10-18 |
Darboux Type Problems for Degenerate Hyperbolic Systems of Second Order Equations |
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| WEN Guo-chun,HOU Ren-min.Darboux Type Problems for Degenerate Hyperbolic Systems of Second Order Equations[J].Journal of Yantai University(Natural Science and Engineering edirion),2007,20(2):79-85. |
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| Authors: | WEN Guo-chun HOU Ren-min |
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| Institution: | 1. School of Mathematical Sciences, Peking University, Beijing 100871, China; 2. School of Mathematics and Informational Science,Yantai University, Yantai 264005, China |
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| Abstract: | The present paper deals with Darboux type problems for the general degenerate hyperbolic systems of second order equations,mainly the representation of solutions for Darboux type problems is given,and the existence and uniqueness of solutions for the problems are proved.The results in this paper can be used to handle the Tricomi problem of generalized mixed(elliptichyperbolic) systems of second order equations. |
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| Keywords: | degenerate hyperbolic systems darboux type problems existence and uniqueness of solutions |
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