Inverse Nodal Problem for Polynomial Potentials. (15th June 2021)

• Record Type: Journal Article
• Authors: Koyunbakan, Hikmet; Shieh, Chung-Tsun
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 6(2021)
• Page Start: 671
• Page End: 678
• Publication Date: 2021-06-15
• Subjects: Polynomial potentials -- nodal inverse problem -- nodes of eigenfunctions; 34A55 -- 34B24 -- 34L20 -- 34L30; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1920610
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this work, we study an inverse nodal problem for a differential pencil with boundary condition depends on eigenparameter. We show that there exists a solution of the problem that satisfied the conditions. Also, we give eigenvalues, nodal points and some formulas for q n ( x ) . Although there were given some results for this type problem, we think that inverse nodal problems have not solved yet.