一类矩阵微分算子的亏指数问题

On Deficiency Index of Matrix Differential Operators of Mixed Order

文章考虑一类混合阶矩阵微分算子的亏指数问题,通过将该算子转化为Hamilton算子,运用Hamilton算子已有结论给出矩阵微分算子的几个极限点型与极限圆型判别定理.

The present paper deals with the deficiency index of matrix differential operators of mixed order. By transforming the operator into Harmiltonia differential systems equivalent to square integrable in suitable Hilbert spaces, the paper attempts to propose several theorems on matrix differential operators that distinguish a limit- point case from a limit- circle one.