Traces of Sturm-Liouville operators with discontinuities

被引：14
作者：
Yang, Chuan-Fu [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing, Jiangsu, Peoples R China
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2014年 / 22卷 / 05期
基金：
中国国家自然科学基金;
关键词：
second-order differential operator; discontinuous condition; regularized trace formula; FORMULAS; EIGENVALUES; BEHAVIOR;
D O I：
10.1080/17415977.2013.828053
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper deals with the eigenvalue problems for the second-order differential operators with discontinuities inside a finite interval. We will obtain some formulas for the regularized traces of the second-order differential operators with discontinuities.
引用
收藏
页码：803 / 813
页数：11
相关论文
共 24 条
[1]   EFFECT OF DISCONTINUITIES IN DENSITY AND SHEAR VELOCITY ON ASYMPTOTIC OVERTONE STRUCTURE OF TORSIONAL EIGENFREQUENCIES OF EARTH [J].
ANDERSSEN, RS .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1977, 50 (02) :303-309
[2]  
Dikiy L. A., 1953, USP MAT NAUK, V8, P119
[3]  
Freiling G., 2001, INVERSE STURM LIOUVI
[4]  
Gelfand M., 1953, DOKL AKAD NAUK SSSR, V88, P593
[5]   TRACE FORMULAS AND INVERSE SPECTRAL THEORY FOR SCHRODINGER-OPERATORS [J].
GESZTESY, F ;
HOLDEN, H ;
SIMON, B ;
ZHAO, Z .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 29 (02) :250-255
[6]  
GESZTESY F, 1997, MULTIPARTICLE QUANTU, P121
[7]  
HALBERG CJA, 1960, DUKE MATH J, V27, P607
[8]   DISCONTINUOUS INVERSE EIGENVALUE PROBLEMS [J].
HALD, OH .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (05) :539-577
[9]   EXACT SOLUTION FOR A DERIVATIVE NON-LINEAR SCHRODINGER EQUATION [J].
KAUP, DJ ;
NEWELL, AC .
JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (04) :798-801
[10]   INVERSE PROBLEMS FOR NON-ABSORBING MEDIA WITH DISCONTINUOUS MATERIAL PROPERTIES [J].
KRUEGER, RJ .
JOURNAL OF MATHEMATICAL PHYSICS, 1982, 23 (03) :396-404
123