| 可换四元数代数中一类一阶双曲方程的Riemann-Hilbert边值问题 |
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| 引用本文： | 张位全. 可换四元数代数中一类一阶双曲方程的Riemann-Hilbert边值问题[J]. 宁夏大学学报(自然科学版), 2006, 27(2): 119-123,129 |
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| 作者姓名： | 张位全 |
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| 作者单位： | 广东医学院,数学教研室,广东,湛江,524023 |
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| 摘 要： | 讨论了可换四元数代数中一类一阶双曲方程的Riemann—Hilbert边值问题．获得了其解的一般形式，以及在不同情况下Riemann—Hilbert边值问题的可解条件．
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| 关 键 词： | 可换四元数 Riemann-Hilbert边值问题 双曲方程 |
| 文章编号： | 0253-2328（2006）02-0119-05 |
| 收稿时间： | 2006-04-10 |
| 修稿时间： | 2006-04-10 |
The Riemann-Hilbert Boundary Value Problem for a First Order Hyperbolic Equation in Commutative Quaternion Algebra |
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| Zhang Weiquan. The Riemann-Hilbert Boundary Value Problem for a First Order Hyperbolic Equation in Commutative Quaternion Algebra[J]. Journal of Ningxia University(Natural Science Edition), 2006, 27(2): 119-123,129 |
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| Authors: | Zhang Weiquan |
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| Affiliation: | Teaching and Research Division for Mathematics, Guangdong Medical College,Zhanjiang 524023,China |
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| Abstract: | In this paper, the Riemann-Hilbert boundary value problem for a class of first order hyperbolic equation in commutative quaternion algebra is considered, and the general solutions and the solvable conditions of the problem in different cases are obtained. |
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| Keywords: | commutative quaternion algebra the Riemann-Hilbert boundary problem hyperbolic equation |
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