ON THE DISCRETENESS OF SPECTRA OF SINGULAR STURM-LIOUVILLE PROBLEMS

被引：18

作者：

BERKOWITZ, J

机构：

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1959年 / 12卷 / 03期

关键词：

D O I：

10.1002/cpa.3160120309

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：523 / 542

页数：20

共 24 条

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

CODDINGTON, EA ;

LEVINSON, N .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1951, 3 (03) :335-338

[2]

COURANT R, 1953, METHODS MATH PHYSICS, V1, P451

[3] Spectral theory of semi-bound operators and use of the spectral analysis of differential operators. [J].

Friedrichs, K .

MATHEMATISCHE ANNALEN, 1934, 109 :465-487

[4] On prized constraint in the spectral theory of half-restricted ordinary differential operators of the second order. [J].

Friedrichs, K .

MATHEMATISCHE ANNALEN, 1936, 112 :1-23

[5] CRITERIA FOR DISCRETE SPECTRA [J].

FRIEDRICHS, KO .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (04) :439-449

[6]

FRIEDRICHS KO, 1948, CRITERIA DISCRETE CH, P145

[7] OSCILLATORY AND NON-OSCILLATORY LINEAR DIFFERENTIAL EQUATIONS [J].

HARTMAN, P ;

WINTNER, A .

AMERICAN JOURNAL OF MATHEMATICS, 1949, 71 (03) :627-649

[8] DIFFERENTIAL EQUATIONS WITH NON-OSCILLATORY EIGENFUNCTIONS [J].

HARTMAN, P .

DUKE MATHEMATICAL JOURNAL, 1948, 15 (03) :697-709

[9] ON THE ESSENTIAL SPECTRA OF SINGULAR EIGENVALUE PROBLEMS [J].

HARTMAN, P ;

WINTNER, A .

AMERICAN JOURNAL OF MATHEMATICS, 1950, 72 (03) :545-552

[10] A CHARACTERIZATION OF THE SPECTRA OF ONE-DIMENSIONAL WAVE EQUATIONS [J].

HARTMAN, P .

AMERICAN JOURNAL OF MATHEMATICS, 1949, 71 (04) :915-920

← 1 2 3 →