Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient

Gökhan MUTLU; Esra KIR ARPAT

doi:https://doi.org/10.16984/saufenbilder.627496

Makale detayları

Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient

Yazarlar:

Gökhan MUTLU | Esra KIR ARPAT

Ana Başlıklar:

Matematik

Dergi:

Sakarya University Journal of Science 2020 Vol.24 Issue 3, pp.494-500

Belge Tipi:

Makale

Yayın Tarihi:

5/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000556809

DOI:

https://doi.org/10.16984/saufenbilder.627496

Özet:

 


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.


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Makale detayları

Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient

Yazarlar: Gökhan MUTLU | Esra KIR ARPAT

Ana Başlıklar: Matematik

Dergi: Sakarya University Journal of Science 2020 Vol.24 Issue 3, pp.494-500

Belge Tipi: Makale

Yayın Tarihi: 5/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000556809

DOI: https://doi.org/10.16984/saufenbilder.627496

Sayı

Yazarlar:

Gökhan MUTLU | Esra KIR ARPAT

Ana Başlıklar:

Matematik

Dergi:

Sakarya University Journal of Science 2020 Vol.24 Issue 3, pp.494-500

Belge Tipi:

Makale

Yayın Tarihi:

5/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000556809

DOI:

https://doi.org/10.16984/saufenbilder.627496