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.
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页码：65 / 71
页数：7
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