On a class of operators related to second-order differential equations

被引：0

作者：

N. N. Konechnaya

K. A. Mirzoev

机构：

[1] M. V. Lomonosov Pomor State University,Department of Mechanics and Mathematics

[2] Moscow State University,undefined

来源：

Russian Journal of Mathematical Physics | 2006年 / 13卷

关键词：

Differential Equation; Differential Operator; Spectral Property; Fundamental System; Homogeneous Differential Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present paper, we find a class of linear homogeneous differential equations of order n + 1 (n > 1) whose fundamental system of solutions is constructed from the fundamental system of solutions of a second-order differential equation. The spectral properties of differential operators generated by these differential expressions are investigated. In particular, sufficient conditions are obtained for the coefficients of a second-order differential equation under which the case of maximal deficiency indices is realized.

引用

页码：55 / 63

页数：8