| 二阶混合型微分方程的斜微商问题 |
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| 引用本文： | 张福元.二阶混合型微分方程的斜微商问题[J].河北大学学报(自然科学版),1998(3). |
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| 作者姓名： | 张福元 |
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| 作者单位： | 军械工程学院数学教研室 |
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| 摘 要： | 研究了在有界单连域上最简单的二阶混合型（椭圆—双曲型）微分方程，即拉符伦捷夫ＭＡ方程的边界条件中含有斜微商的Ｈｉｌｂｅｒｔ边值问题。首先，给出了上述边值问题解的唯一性定理，然后，利用复分析的方法证明了上述问题解的存在性，且给出了解的具体表达式。
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| 关 键 词： | 二阶混合型微分方程 斜微商问题 Hilbert边值问题 |
The Oblique Derivative Problem for Mixed Differential Equation of Second Order |
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| Zhang,Fuyuan.The Oblique Derivative Problem for Mixed Differential Equation of Second Order[J].Journal of Hebei University (Natural Science Edition),1998(3). |
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| Authors: | Zhang Fuyuan |
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| Abstract: | The Hilbert boundary value problems with oblique derivative in boundary conditions for the simplest mixed(elliptic-hyperbolic)differential equation of second order(i.e.M.A. equation)in a simply connected bounded domain are studied.Firstly,the uniqueness theorem of solution for the above boundary value problem is given,afterwards, by using the method of complex analysis ,the existence of solution for the above problem is proved ,and the conckete representation of solution is also given. |
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| Keywords: | Mixed differential equation of second order Oblique derivative problem Hilbert boundary value problem |
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