Recovering nonselfadjoint differential pencils with nonseparated boundary conditions

被引：13

作者：

Freiling, G. ^{[1
]}

Yurko, V. ^{[2
]}

机构：

[1] Univ Duisburg Essen, Fac Math, D-47057 Duisburg, Germany

[2] Saratov Univ, Dept Math, Saratov 410026, Russia

来源：

APPLICABLE ANALYSIS | 2015年 / 94卷 / 08期

关键词：

47E05; 34B24; 34A55; 34B07; differential pencils; nonseparated boundary conditions; inverse problems; INVERSE SPECTRAL PROBLEM; STURM-LIOUVILLE OPERATORS; GRAPHS; CYCLE;

D O I：

10.1080/00036811.2014.940918

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Nonselfadjoint second-order differential pencils on a finite interval with nonseparated boundary conditions are studied. We establish some important properties of spectral characteristics and investigate inverse problems of recovering the operator from its spectral data. For these inverse problems, we prove the corresponding uniqueness theorems and provide procedures for constructing their solutions.

引用

页码：1649 / 1661

页数：13

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