OSCILLATION CRITERIA AND THE DISCRETENESS OF THE SPECTRUM OF SELF-ADJOINT, EVEN ORDER, DIFFERENTIAL-OPERATORS

被引：16

作者：

DOSLY, O

机构：

[1] Department of Mathematics, Masaryk University, 662 95 Brno

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 1991年 / 119卷

关键词：

D O I：

10.1017/S0308210500014797

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the oscillation properties of self-adjoint differential equations [GRAPHICS] The oscillation criteria are derived, which allows a unified approach to the investigation of (*) near a finite or infinite singularity. These criteria are used to study spectral properties of singular differential operators associated with (*).

引用

页码：219 / 232

页数：14

共 50 条

[1] OSCILLATION OF EVEN ORDER SELF-ADJOINT DIFFERENTIAL OPERATORS
LEWIS, RT
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (03): : A327 - A327
[2] DISCRETENESS OF SPECTRUM OF SELF-ADJOINT, EVEN ORDER, ONE-TERM, DIFFERENTIAL OPERATORS
LEWIS, RT
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (07): : A658 - A658
[3] DISCRETENESS OF SPECTRUM OF SELF-ADJOINT, EVEN ORDER, ONE-TERM, DIFFERENTIAL OPERATORS
LEWIS, RT
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 42 (02) : 480 - 482
[4] OSCILLATION AND NONOSCILLATION CRITERIA FOR SOME SELF-ADJOINT EVEN ORDER LINEAR-DIFFERENTIAL OPERATORS
LEWIS, RT
PACIFIC JOURNAL OF MATHEMATICS, 1974, 51 (01) : 221 - 234
[5] GAPS IN ESSENTIAL SPECTRUM OF EVEN-ORDER SELF-ADJOINT DIFFERENTIAL OPERATORS
EASTHAM, MSP
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1977, 34 (MAR) : 213 - 230
[6] ON FACTORIZATIONS OF SELF-ADJOINT ORDINARY DIFFERENTIAL-OPERATORS
GRANATA, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 86 (02) : 260 - 266
[7] ON DETERMINATION OF SELF-ADJOINT DIFFERENTIAL-OPERATORS ON A SEMIAXIS
YURKO, VA
MATHEMATICAL NOTES, 1995, 57 (3-4) : 310 - 318
[8] CRITERIA FOR DISCRETE SPECTRUM OF SINGULAR SELF-ADJOINT DIFFERENTIAL OPERATORS
ROLLINS, LW
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 34 (01) : 195 - &
[9] OSCILLATION AND NONOSCILLATION OF SOLUTIONS TO EVEN ORDER SELF-ADJOINT DIFFERENTIAL EQUATIONS
Dosly, Ondrej
Fisnarova, Simona
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
[10] OSCILLATION OF SELF-ADJOINT, FOURTH ORDER, LINEAR-DIFFERENTIAL OPERATORS
LEWIS, RT
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A7 - A7

← 1 2 3 4 5 →