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

页码：65 / 71

页数：7

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