Spectral problems for Sturm-Liouville operator with boundary and jump conditions linearly dependent on the eigenparameter

被引：33

作者：

Ozkan, A. S. ^{[1
]}

Keskin, B. ^{[1
]}

机构：

[1] Cumhuriyet Univ, Dept Math, Fac Art & Sci, TR-58140 Sivas, Turkey

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2012年 / 20卷 / 06期

关键词：

inverse problem; Sturm-Liouville operator; Weyl function; jump conditions; eigenparameter dependent-boundary conditions; EIGENVALUE PARAMETER; EQUATIONS;

D O I：

10.1080/17415977.2011.652957

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, a boundary-value problem is considered, which is generated by Sturm-Liouville differential equation, parameter-dependent boundary conditions and discontinuity (or jump) conditions. The properties of the eigenvalues of this problem are investigated. Uniqueness theorems for the solution of inverse problem according to the Weyl function and spectral data are proven.

引用

页码：799 / 808

页数：10

共 28 条

[11] Freiling G., 2001, INVERSE STURM LIOUVI
[12] FULTON CT, 1980, P ROY SOC EDINB A, V87, P1
[13] 2-POINT BOUNDARY-VALUE PROBLEMS WITH EIGENVALUE PARAMETER CONTAINED IN BOUNDARY-CONDITIONS
FULTON, CT
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1977, 77 : 293 - 308
[14] DISCONTINUOUS INVERSE EIGENVALUE PROBLEMS
HALD, OH
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (05) : 539 - 577
[15] Kapustin NY, 1999, DIFF EQUAT+, V35, P1031
[16] Likov A.V., 1963, The Theory of Heat and Mass Transfer
[17] Litvinenko ON, 1964, The Theory of Heterogeneous Lines and their Applications in Radio Engineering
[18] ON THE UNIQUENESS OF A SPHERICALLY SYMMETRICAL SPEED OF SOUND FROM TRANSMISSION EIGENVALUES
MCLAUGHLIN, JR
POLYAKOV, PL
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 107 (02) : 351 - 382
[19] On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter
Mennicken, R
Schmid, H
Shkalikov, AA
[J]. MATHEMATISCHE NACHRICHTEN, 1998, 189 : 157 - 170
[20] Meschanov VP, 1980, AUTOMATIC DESIGN DIR

← 1 2 3 →