Inverse spectral problem for a third-order differential operator with non-local potential

被引：7

作者：

Zolotarev, V. A. ^{[1
,2
]}

机构：

[1] Natl Acad Sci Ukraine, B Verkin Inst Low Temp Phys & Engn, 47 Nauky Ave, UA-61103 Kharkiv, Ukraine

[2] Kharkov Natl Univ, Dept Higher Math & Informat, 4 Svobody Sq, UA-61077 Kharkov, Ukraine

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 303卷

关键词：

Third-order differential operator; Non-local potential; Inverse problem;

D O I：

10.1016/j.jde.2021.09.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Spectral problem for a self-adjoint third-order differential operator with non-local potential on a finite interval is studied. Elementary functions that are analogues of sines and cosines for such operators are described. Direct and inverse problems for third-order operators with non-local potential are solved. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：456 / 481

页数：26

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