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.
Primary Language | en |
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Subjects | Mathematics |
Published Date | June-2020 |
Journal Section | Research Articles |
Authors |
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Dates |
Application Date
: October 1, 2019
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Bibtex | @research article { saufenbilder627496,
journal = {Sakarya University Journal of Science},
issn = {},
eissn = {2147-835X},
address = {},
publisher = {Sakarya University},
year = {2020},
volume = {24},
pages = {494 - 500},
doi = {10.16984/saufenbilder.627496},
title = {Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient},
key = {cite},
author = {Mutlu, Gökhan and Kır Arpat, Esra}
} |
APA | Mutlu, G , Kır Arpat, E . (2020). Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient . Sakarya University Journal of Science , 24 (3) , 494-500 . DOI: 10.16984/saufenbilder.627496 |
MLA | Mutlu, G , Kır Arpat, E . "Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient" . Sakarya University Journal of Science 24 (2020 ): 494-500 <http://www.saujs.sakarya.edu.tr/en/pub/issue/52472/627496> |
Chicago | Mutlu, G , Kır Arpat, E . "Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient". Sakarya University Journal of Science 24 (2020 ): 494-500 |
RIS | TY - JOUR T1 - Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient AU - Gökhan Mutlu , Esra Kır Arpat Y1 - 2020 PY - 2020 N1 - doi: 10.16984/saufenbilder.627496 DO - 10.16984/saufenbilder.627496 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 494 EP - 500 VL - 24 IS - 3 SN - -2147-835X M3 - doi: 10.16984/saufenbilder.627496 UR - https://doi.org/10.16984/saufenbilder.627496 Y2 - 2020 ER - |
EndNote | %0 Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient %A Gökhan Mutlu , Esra Kır Arpat %T Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient %D 2020 %J Sakarya University Journal of Science %P -2147-835X %V 24 %N 3 %R doi: 10.16984/saufenbilder.627496 %U 10.16984/saufenbilder.627496 |
ISNAD | Mutlu, Gökhan , Kır Arpat, Esra . "Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient". Sakarya University Journal of Science 24 / 3 (June 2020): 494-500 . https://doi.org/10.16984/saufenbilder.627496 |
AMA | Mutlu G , Kır Arpat E . Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient. SAUJS. 2020; 24(3): 494-500. |
Vancouver | Mutlu G , Kır Arpat E . Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient. Sakarya University Journal of Science. 2020; 24(3): 494-500. |
IEEE | G. Mutlu and E. Kır Arpat , "Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient", Sakarya University Journal of Science, vol. 24, no. 3, pp. 494-500, Jun. 2020, doi:10.16984/saufenbilder.627496 |