| 一阶混合型方程组的间断边值问题 |
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| 引用本文： | 闻国椿,杨丕文. 一阶混合型方程组的间断边值问题[J]. 系统科学与数学, 2001, 21(2): 243-249 |
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| 作者姓名： | 闻国椿 杨丕文 |
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| 作者单位： | 1. 北京大学数学系,
2. 四川师范大学数学系, |
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| 摘 要： | 本文论讨单连通区域上一阶线性混合型(椭圆—双曲型)方程组的间断边值问题.我们首先给出混合型方程组特别是最简单的混合型方程组解的表示式，然后使用逐次逼近法，证明上述边值问题解的存在性与唯一性.由以上结果，可导出A.V.Bitsadze所得的Lavrent’ev-Bitsadze方程u
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| 关 键 词： | 间断边值问题，线性混合型方程组 |
| 修稿时间： | 1999-12-29 |
DISCONTINUOUS BOUNDARY VALUE PROBLEMS FOR FIRST ORDER SYSTEMS OF MIXED TYPE |
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| WEN Guochun,Yang Piwen. DISCONTINUOUS BOUNDARY VALUE PROBLEMS FOR FIRST ORDER SYSTEMS OF MIXED TYPE[J]. Journal of Systems Science and Mathematical Sciences, 2001, 21(2): 243-249 |
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| Authors: | WEN Guochun Yang Piwen |
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| Affiliation: | (1)Department of Mathematics, Peking University, Beijing 100871,P.R.China;(2)Department of Mathematics, Sichuan Normal University, Chengdu, 610066,P.R.China |
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| Abstract: | This paper deals with discontinuous boundary value problems for first order linear systems of mixed (elliptic-hyperbolic) type equations in a simply connected domain. Firstly, we derive the representation of solutions of the above boundary value problems for the mixed system, and then by using the method of successive iteration, the existence and uniqueness of solutions for the above problems are proved. From these results, we can derive the result on the Thicomi problem for Lavrent'ev-Bitsadze equation uxx sgnyuyy =0 obtained by A. V. Bitsadze. |
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| Keywords: | Discontinuous boundary value problems linear mixed equations. |
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