Reconstruction of the Volterra-type integro-differential operator from nodal points

Abstract In this work, the Sturm–Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions).

Bibliographic Details
Main Author: Baki Keskin
Format: Article
Language:English
Published: SpringerOpen 2018-04-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-0968-0