The uniqueness theorem for inverse nodal problems with a chemical potential

AuthorsSeyfollah Mosazadeh
JournalIranian Journal of Mathematical Chemistry
Presented byUniversity of Kashan
Paper TypeFull Paper
Published At2017-12-01
Journal GradeISI
Journal TypeTypographic
Journal CountryIran, Islamic Republic Of
Journal IndexISI, ISC

Abstract

In this paper, an inverse nodal problem for a second-order differential equation having a chemical potential on a finite interval is investigated. First, we estimate the nodal points and nodal lengths of differential operator. Then, we show that the potential can be uniquely determined by a dense set of nodes of the eigenfunctions.