| 一阶线性双曲型复方程的Riemann—Hilbert问题 |
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| 引用本文： | 闻国椿,康世祥.一阶线性双曲型复方程的Riemann—Hilbert问题[J].四川师范大学学报(自然科学版),1998,21(6):609-614. |
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| 作者姓名： | 闻国椿 康世祥 |
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| 作者单位： | 北京大学数学系(闻国椿)，四川师范大学数学系(康世祥) |
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| 摘 要： | 讨论在单连通区域上的一阶线性双曲型复方程的Ｒｉｅｍａｎｎ－Ｈｉｌｂｅｒｔ边值问题，首先给出边值问题解的表示式，然后用逐次逼近法证明该边值问题解的存在性和唯一性．
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| 关 键 词： | 双曲型复方程 解的表示式 逐次逼近法 |
THE RIEMANN HILBERT PROBLEM FOR LINEAR HYPERBOLIC COMPLEX EQUATIONS OF FIRST ORDER |
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| Wen Guochun,Kang Shixiang.THE RIEMANN HILBERT PROBLEM FOR LINEAR HYPERBOLIC COMPLEX EQUATIONS OF FIRST ORDER[J].Journal of Sichuan Normal University(Natural Science),1998,21(6):609-614. |
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| Authors: | Wen Guochun Kang Shixiang |
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| Institution: | Wen Guochun 1) Kang Shixiang 2) |
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| Abstract: | In this paper, we discuss the Riemann Hilbert boundary value problem for linear hyperbolic complex equations of first order in a simply connected domain. First, we give a representation of solutions for the above boundary value problem, then by using the method of successive iteration, the existence and uniqueness of solutions for the above problem are proved. |
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| Keywords: | Hyperbolic complex equations Representation of solutions Method of successive iteration |
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