| 球形扁壳基本解推导的一种新途径 |
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| 引用本文： | 王建国.球形扁壳基本解推导的一种新途径[J].合肥工业大学学报(自然科学版),1992(4). |
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| 作者姓名： | 王建国 |
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| 摘 要： | 本文首先利用Hormander算子法将求解球形扁壳基本解的微分方程组归结为求解含有一个未知函数的八阶微分方程的基本解,然后引入两个辅助函数使微分方程降阶,将八阶微分方程转化为两个相互独立的四阶微分方程,以较为简捷的方式导出了球形扁壳的基本解。
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| 关 键 词： | Hōrmander球形扁壳 基本解 Hormander算子法 辅助函数 |
AN ALTERNATIVE APPROACH TO THE DERIVATION OF THE FUNDAMENTAL SOLUTIONS FOR SHALLOW SPHERICAL SHELLS |
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| Wang Jianguo.AN ALTERNATIVE APPROACH TO THE DERIVATION OF THE FUNDAMENTAL SOLUTIONS FOR SHALLOW SPHERICAL SHELLS[J].Journal of Hefei University of Technology(Natural Science),1992(4). |
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| Authors: | Wang Jianguo |
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| Institution: | Wang Jianguo |
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| Abstract: | In this paper the differential eguations of finding the fundamental Solutions for shallow Spherical Shells are converted into an eighth order differential eguation with a scalar function as unknown by Hormander operator method. In order to reduce the equation further, two auxiliary functions are introduced. They satisfy two fourth order differential eguation respectively. The fundamental Solutions for Shallow Spherical shells are expressed by a linear combination of the auxiliary functions. |
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| Keywords: | Shallow spherical shells Fundamental solutions Hormanden operator method Auxiliary functions |
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