A discrete boundary value problem with point interaction-Reference-Cited by-同舟云学术

A discrete boundary value problem with point interaction

Published:2022 Issue:18 Volume:36 Page:6279-6288
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Aygar Yelda¹,Koprubasi Turhan²

Affiliation:

1. Department of Mathematics, Ankara University, Tandoğan, Ankara, Türkiye

2. Department of Mathematics, Kastamonu University, Kastamonu, Türkiye

Abstract

This paper is concerned with a boundary value problem (BVP) for discrete Sturm-Liouville equation with point interaction and boundary conditions depending on a hyperbolic eigenvalue parameter. This paper presents some spectral and scattering properties of this BVP in terms of Jost solution, scattering solutions, scattering function, continuous and discrete spectrum. In addition, the resolvent operator of the BVP is obtained to get the properties of eigenvalues. Furthermore, an example is considered as a special case of the main problem to demonstrate the effectiveness of our results.

Publisher

National Library of Serbia

Subject

General Mathematics

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