One-Dimensional Schrodinger Operator with a Negative Parameter and Its Applications to the Study of the Approximation Numbers of a Singular Hyperbolic Operator

被引:6
作者
Muratbekov, M. B. [1 ]
Muratbekov, M. M. [2 ]
机构
[1] Taraz State Pedag Inst, Tole Bi 62, Taraz 080000, Kazakhstan
[2] LN Gumilyov Eurasian Natl Univ, Satpayev Str 2, Astana 010008, Kazakhstan
关键词
Spectrum; resolvent; Schrodinger operator; singular hyperbolic operator; approximation numbers; MIXED-TYPE;
D O I
10.2298/FIL1803785M
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we use the one-dimensional Schrodinger operator with a negative parameter to the study of the approximation numbers of a hyperbolic type singular operator. Estimates for the distribution function of the approximation numbers are obtained.
引用
收藏
页码:785 / 790
页数:6
相关论文
共 13 条
[1]  
Gohberg I., 1978, INTRO THEORY LINEAR, V18
[2]  
Kato T., 1966, PERTURBATION THEORY, P64
[3]  
Kostuchenko AG, 1967, FUNKS ANALIZ EGO PRI, V1, P86
[4]  
Lidskii V.B., 1960, Tr. Mosk. Mat. Obs., V9, P45
[5]  
Molchanov AM., 1953, Trudy Mosk. Mat. Obsch, V2, P169
[6]   Estimates of the spectrum for a class of mixed type operators [J].
Muratbekov, M. B. ;
Muratbekov, M. M. .
DIFFERENTIAL EQUATIONS, 2007, 43 (01) :143-146
[7]  
Muratbekov M. B., 2013, ELECT J QUALITATIVE, V64, P1
[8]  
Muratbekov M. B., 2008, J MATH SCI, V150, P2521
[9]  
MURATBEKOV MB, 1991, DIFF EQUAT+, V27, P1517
[10]  
Otelbaev M., 1979, MATH NOTES, V25, P409