On an inverse spectral problem for first-order integro-differential operators with discontinuities

被引：16
|
作者：
Buterin, S. A. [1 ]
机构：
[1] Saratov Univ, Dept Math, Saratov, Russia
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 78卷
基金：
俄罗斯科学基金会;
关键词：
Integro-differential operator; Discontinuity condition; Inverse spectral problem; STURM-LIOUVILLE OPERATOR;
D O I：
10.1016/j.aml.2017.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A convolution integro-differential operator of the first order with a finite number of discontinuities is considered. Properties of its spectrum are studied and a uniqueness theorem is proven for the inverse problem of recovering the convolution kernel along with the boundary condition from the spectrum. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：65 / 71
页数：7
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