ON SPECTRUM OF ORDINARY 2ND ORDER DIFFERENTIAL OPERATORS

被引：30

作者：

CHAUDHUR.J

EVERITT, WN

机构：

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURG SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES | 1969年 / 68卷

关键词：

D O I：

10.1017/S0080454100008293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers properties of the spectrum of differential operators derived from differential expressions of the second order. The object is to link the spectral properties of these differential operators with the analytic, function-theoretic properties of the solutions of the differential equation. This provides an alternative approach to the spectral theory of these differential operators but one which is consistent with the standard definitions used in Hilbert space theory. In this way the approach may be of interest to applied mathematicians and theoretical physicists. © 1969, Royal Society of Edinburgh. All rights reserved.

引用

页码：95 / &

共 11 条

[1]

Akhiezer N. I., 1961, THEORY LINEAR OPERAT, VI

[2]

[Anonymous], 1958, EIGENFUNCTION EXPA 2

[3]

Coddington E. A., 1955, THEORY ORDINARY DIFF

[4] ON THE NATURE OF THE SPECTRUM OF SINGULAR 2ND ORDER LINEAR DIFFERENTIAL EQUATIONS [J].