宋福民. Banach空间中椭圆方程Dirichlet问题的迭代解[J]. 南昌航空大学学报(自然科学版), 1995, 9(1): 33-37.
引用本文: 宋福民. Banach空间中椭圆方程Dirichlet问题的迭代解[J]. 南昌航空大学学报(自然科学版), 1995, 9(1): 33-37.
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Song Fuming. Iterative Solutions for Dirichlet Problem of Elliptic Equations in a Banach Space[J]. Journal of nanchang hangkong university(Natural science edition), 1995, 9(1): 33-37.
Citation: Song Fuming. Iterative Solutions for Dirichlet Problem of Elliptic Equations in a Banach Space[J]. Journal of nanchang hangkong university(Natural science edition), 1995, 9(1): 33-37.
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Banach空间中椭圆方程Dirichlet问题的迭代解

Iterative Solutions for Dirichlet Problem of Elliptic Equations in a Banach Space

    摘要
  • 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.

     

    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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