We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient.
- Authors
MUTLU, Gökhan; ARPAT, Esra KIR
- Abstract
In this paper, we consider the discrete Sturm-Liouville operator generated by second order difference equation with non-selfadjoint operator coefficient. This operator is the discrete analogue of the Sturm-Liouville differential operator generated by Sturm-Liouville operator equation which has been studied in detail. We find the Jost solution of this operator and examine its asymptotic and analytical properties. Then, we find the continuous spectrum, the point spectrum and the set of spectral singularities of this discrete operator. We finally prove that this operator has a finite number of eigenvalues and spectral singularities under a specific condition.
- Subjects
OPERATOR equations; DIFFERENCE equations; DIFFERENCE operators; DIFFERENTIAL operators; STURM-Liouville equation; SELFADJOINT operators
- Publication
Sakarya University Journal of Science (SAUJS) / Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020, Vol 24, Issue 3, p494
- ISSN
1301-4048
- Publication type
Article
- DOI
10.16984/saufenbilder.627496