| 一类三阶线性椭圆型复方程的广义解 |
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| 引用本文： | 王微.一类三阶线性椭圆型复方程的广义解[J].内蒙古大学学报(自然科学版),1988(1). |
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| 作者姓名： | 王微 |
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| 作者单位： | 呼和浩特十七中学 |
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| 摘 要： | 在文1]中,我们对三阶线性偏微分方程组进行了分类。接着在文2]中,我们把一般的三阶线性椭圆型方程组化为两类复方程,並对其中的一类复方程进行了研究,得到了广义解的表示式和存在定理,还研究了一个特殊方程的边值问题。本文用类似于文2]中的方法研究另一类复方程,在引进新的算子后,也得到了广义解的表示式和存在定理,做为应用,还研究了一个特殊方程的边值问题。
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| 关 键 词： | 椭圆型方程 广义解 边值问题 |
The Generalized Solution for a Class of the Third Order Linear Elliptic Complex Equation |
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| Wang Wei.The Generalized Solution for a Class of the Third Order Linear Elliptic Complex Equation[J].Acta Scientiarum Naturalium Universitatis Neimongol,1988(1). |
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| Authors: | Wang Wei |
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| Abstract: | In this paper, we consider the generalized solution for a class of the third order linear elliptic complex equation in similar way as the paper 2]. We obtain the representation and the existence theorem of the generalized solution. For application, we also obtain necessary and sufficient conditions for the solvability of the boundary value problem of a typical equation. |
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| Keywords: | Elliptic equation Generalized solution Boundary value Problem |
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