Inverse spectral problems for Sturm-Liouville operators in impedance form

被引:24
作者
Albeverio, S
Hryniv, R [1 ]
Mykytyuk, Y
机构
[1] Univ Bonn, Inst Angew Math, Wegelerstr 6, D-53115 Bonn, Germany
[2] SFB 611, Bonn, Germany
[3] IZKS, Bonn, Germany
[4] BiBoS, Bielefeld, Germany
[5] CERFIM, Locarno, Switzerland
[6] Accad Architettura, Mendrisio, Switzerland
[7] Inst Appl Problems Mech & Math, UA-79601 Lvov, Ukraine
[8] Lviv Natl Univ, UA-79602 Lvov, Ukraine
关键词
inverse spectral problems; Sturm-Liouville operators; impedance form;
D O I
10.1016/j.jfa.2004.08.010
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The spectral properties of Sturm-Liouville operators with an impedance in W-p(1) (0, 1), for p some p is an element of [1, infinity), are studied. In particular, a complete solution of the inverse spectral problem is provided. (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:143 / 177
页数:35
相关论文
共 48 条
[31]  
HRYNIV RO, ASYMPTOTICS ZEROS SO
[32]   Estimates for periodic and Dirichlet eigenvalues of the Schrodinger operator with singular potentials [J].
Kappeler, T ;
Möhr, C .
JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 186 (01) :62-91
[33]  
Katznelson Y., 2004, An introduction to harmonic analysis, Vthird
[34]  
KREIN MG, 1954, DOKL AKAD NAUK SSSR+, V94, P13
[35]   Spectral asymptotics for Schrodinger operators with periodic point interactions [J].
Kurasov, P ;
Larson, J .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 266 (01) :127-148
[36]  
Levitan B. M., 1984, Inverse Sturm-Liouville Problems
[37]  
LEVITAN BM, 1991, MATH APPL, V59
[38]  
Marchenko V., 1986, STURM LIOUVILLE OPER
[39]  
MYKYTYUK YV, 2003, MAT STUD, V20, P185
[40]  
MYKYTYUK YV, 2004, MAT STUD, V21, P87