Class of Sturm–Liouville Problems with Eigenparameter Dependent Transmission Conditions. (3rd October 2017)

• Record Type: Journal Article
• Authors: Aydemir, Kadriye; Mukhtarov, Oktay Sh.
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 10(2017)
• Page Start: 1260
• Page End: 1275
• Publication Date: 2017-10-03
• Subjects: Eigenfunction -- eigenparameter-dependent boundary and transmission conditions -- eigenvalue -- Sturm-ŰLiouville problems; 34B09 -- 34B24; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1316995
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: The objective of this paper is the investigation of a new class Sturm–Liouville problems on two disjoint intervals when the eigenparameter appears not only in the equation but also in the boundary and transmission conditions. We concerned with the problem of justifying some spectral properties of the eigenvalues and corresponding eigenfunctions. Particularly, we examined asymptotic behavior of the eigenvalues and corresponding eigenfunctions.