| 二阶双曲型方程在一般区域上的斜微商问题 |
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| 引用本文： | 章栋恩,闻国春. 二阶双曲型方程在一般区域上的斜微商问题[J]. 宁夏大学学报(自然科学版), 2000, 21(1): 6-9 |
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| 作者姓名： | 章栋恩 闻国春 |
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| 作者单位： | 1. 北京工商大学数理部,北京,100037
2. 北京大学,数学系,北京,100871 |
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| 摘 要： | 研究了二阶拟线性双曲型方程在一般单连通区域上的斜微商边值问题，中引用双曲数与双曲复函数，证明了上述边值问题的解在一般区域上的存在性。
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| 关 键 词： | 斜微商问题 拟线性双曲型方程 单连通区域 |
THE OBLIQUE DERIVATIVE PROBLEM FOR HYPERBOLIC EQUATIONS OF SECOND ORDER IN GENERAL DOMAINS |
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| ZHANG Dong-en,WEN Guo-chun. THE OBLIQUE DERIVATIVE PROBLEM FOR HYPERBOLIC EQUATIONS OF SECOND ORDER IN GENERAL DOMAINS[J]. Journal of Ningxia University(Natural Science Edition), 2000, 21(1): 6-9 |
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| Authors: | ZHANG Dong-en WEN Guo-chun |
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| Abstract: | The oblique derivative problem for quasilinear hyperbolic equations of second order in general simply connected domains is discussed.The so called hyperbolic numbers and hyperbolic complex functions are introduced and used,and the existence of solutions for the above problem in the general domains is proved. |
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| Keywords: | oblique derivative problem quasilinear hyperbolic equation general domain |
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