| Banach空间中椭圆方程Dirichlet问题的迭代解 |
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| 引用本文： | 宋福民.Banach空间中椭圆方程Dirichlet问题的迭代解[J].南昌航空工业学院学报,1995(1):33-37. |
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| 作者姓名： | 宋福民 |
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| 摘 要： | 以半序理论为工具，在Ｂａｎａｃｈ空间中用上下解方法研究了椭圆方程Ｄｉｒｉｃｈｌｅｔ问题的迭代解，并证明了存在两个迭代序列分别一致收敛于该问题的最小解和最大解。
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| 关 键 词： | 巴拿赫空间 椭圆型方程 狄利克雷问题 半序 |
Iterative Solutions for Dirichlet Problem of Elliptic Equations in a Banach Space |
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| Song Fuming.Iterative Solutions for Dirichlet Problem of Elliptic Equations in a Banach Space[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),1995(1):33-37. |
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| Authors: | Song Fuming |
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| Institution: | 1st Basic Curse Dept. |
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| Abstract: | In this paper, with the semi-ordered theory as a basis,the iterative solutions for the Dirichlet problem of the elliptic equations in a Banch space are discussed by means of the upper and lower methods,which proves the existence of two iterative sequences converged uniformly resentfully to the minimun and maximun soluions of this problem. |
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| Keywords: | Banach space elliptic equation Dirichlet problem semi-order |
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