Dissipative operators generated by the Sturm-Liouville differential expression in the Weyl limit circle case

被引:22
作者
Bairamov, E [1 ]
Krall, AM
机构
[1] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey
[2] Penn State Univ, University Pk, PA 16802 USA
关键词
D O I
10.1006/jmaa.2000.7233
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, using Livsic's theorem, we investigate the problem of completeness of the system of eigenfunctions and associated functions of dissipative operators generated by the Sturm-Liouville differential expression on the semi-axis in Weyl's limit-circle case. (C) 2001 Academic Press.
引用
收藏
页码:178 / 190
页数:13
相关论文
共 7 条
[1]  
[Anonymous], 1952, IZV AKAD NAUK SSSR M
[2]  
EARL A., 1955, THEORY ORDINARY DIFF
[3]   PARAMETRIZATIONS OF TITCHMARSHS M(LAMBDA)-FUNCTIONS IN LIMIT CIRCLE CASE [J].
FULTON, CT .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 229 (MAY) :51-63
[4]  
GOLDBERG IC, 1969, INTRO THEORY LINEAR
[5]   SINGULAR SELF-ADJOINT STURM-LIOUVILLE PROBLEMS .2. INTERIOR SINGULAR POINTS [J].
KRALL, AM ;
ZETTL, A .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1988, 19 (05) :1135-1141
[6]  
KRALL AM, 1988, DIFFERENTIAL INTEGRA, V1, P423
[7]  
NAIMARK M. A., 1968, Linear Differential Operators, VII