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两尺度差分方程L'──解的存在性
引用本文:杨守志,谢长珍.两尺度差分方程L'──解的存在性[J].信阳师范学院学报(自然科学版),1996(3).
作者姓名:杨守志  谢长珍
作者单位:信阳师范学院数学系,信阳师范学院物理系
摘    要:本文讨论了形如f(x)=f(2x-n)的差分方程解的存在性.首先,根据差分方程系数{Cn}去构造矩阵,然后利用所构造矩阵的特征值,给出了差分方程存在L'—解的充分条件.最后,也给出了三种特殊情况下的两尺度差分方程L'—解存在的充分条件.

关 键 词:两尺度差分方程,矩阵的特征值

The Existence of L'-Solution for the Lattice Two-scale Difference Equation
Yang Shouzhi.The Existence of L'-Solution for the Lattice Two-scale Difference Equation[J].Journal of Xinyang Teachers College(Natural Science Edition),1996(3).
Authors:Yang Shouzhi
Abstract:The existence of L'-Solution for two-scale difference equation as f(x)=(2x-n) is inverstigated in this paper. First of all,the matrix is constructed by using the equation coefficient. Second, the sufficient condition for such equation existence L'-solution is given by using characteristic value of the matrix. Finally,three special case of such equations is studied too.
Keywords:Two-scale difference equation  Characteristic value of the matrix
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