Recovering Differential Operators on a Bush-Type Graph

被引：1

作者：

Yurko, V. A. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Chair Math Phys & Numer Anal, Saratov, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2009年 / 9卷 / 02期

关键词：

Sturm - Liouville operators; spatial networks; inverse spectral problems;

D O I：

10.18500/1816-9791-2009-9-2-59-65

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An inverse spectral problem is studied for Sturm - Liouville operators on arbitrary graphs with a cycle. A constructive procedure for the solution is provided and the uniquenness is established.

引用

页码：59 / 65

页数：7

共 10 条

[1] Boundary spectral inverse problem on a class of graphs (trees) by the BC method [J].

Belishev, MI .

INVERSE PROBLEMS, 2004, 20 (03) :647-672

[2]

MARCHENKO VA, 1975, MAT SBORNIK, V97, P540

[3]

STANKEVI.IV, 1970, DOKL AKAD NAUK SSSR+, V192, P34

[4] Recovering differential pencils on compact graphs [J].

Yurko, V. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 244 (02) :431-443

[5] Inverse spectral problems for Sturm-Liouville operators on graphs [J].

Yurko, V .

INVERSE PROBLEMS, 2005, 21 (03) :1075-1086

[6]

YURKO VA, 2007, VVEDENIYE TEORIYU OB

[7]

YURKO VA, 2009, SCHRIFTENREICHE FACH

[8]

YURKO VA, 2009, DOKL AKAD NAUK+, V425, P466

[9]

Yurko VA, 2008, OPER MATRICES, V2, P543

[10]

[Юрко Вячеслав Анатольевич Yurko Vyacheslav Anatol'evich], 2008, [Математические заметки, Mathematical Notes, Matematicheskie zametki], V83, P139, DOI 10.4213/mzm4340

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