论文标题
关于混合顺序的单数基质差方程的分类
On classification of singular matrix difference equations of mixed order
论文作者
论文摘要
本文与混合顺序的单数基质差方程有关。这些方程的初始值问题的存在和唯一性是得出的，然后通过选择合适的准差异来获得类似的经典Weyl方法获得它们的分类。该分类的等效表征是根据方程式的线性独立平方总和解决方案的数量给出的。两个例子说明了非对角线系数对分类的影响。特别是，根据方程系数建立了两个限制点标准。
This paper is concerned with singular matrix difference equations of mixed order. The existence and uniqueness of initial value problems for these equations are derived, and then the classification of them is obtained with a similar classical Weyl's method by selecting a suitable quasi-difference. An equivalent characterization of this classification is given in terms of the number of linearly independent square summable solutions of the equation. The influence of off-diagonal coefficients on the classification is illustrated by two examples. In particular, two limit point criteria are established in terms of coefficients of the equation.
