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

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 spec...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics letters 2018-04, Vol.78, p.65-71
Main Author: Buterin, S.A.
Format: Article
Language:English
Subjects:
Discontinuity condition
Integro-differential operator
Inverse spectral problem
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2017.11.005