An Inverse Problem for an Integro-Differential Equation with a Convolution Kernel Dependent on the Spectral Parameter

被引：6

作者：

Bondarenko, Natalia P. ^{[1
,2
]}

机构：

[1] Samara Natl Res Univ, Dept Appl Math & Phys, Moskovskoye Shosse 34, Samara 443086, Russia

[2] Saratov NG Chernyshevskii State Univ, Dept Mech & Math, Astrakhanskaya 83, Saratov 410012, Russia

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Pencil of integro-differential operators; inverse spectral problems; nonlinear integral equations; necessary and sufficient conditions; OPERATORS;

D O I：

10.1007/s00025-019-1073-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a pencil of the first-order integro-differential operators with the convolution kernel dependent on the spectral parameter. The inverse problem is studied, which consists in recovering the kernel from the spectrum. We develop a constructive procedure for solution and obtain necessary and sufficient conditions for the solvability of the inverse problem.

引用

页数：10

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