Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator

Özge Akçay; Nida Palamut Koşar

doi:10.36753/mathenot.1410536

EN

Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator

Abstract

In this paper, we study nonself-adjoint Sturm-Liouville operator containing both the discontinuous coefficient and discontinuity conditions at some point on the positive half-line. The eigenvalues and the spectral singularities of this problem are examined and it is proved that this problem has a finite number of spectral singularities and eigenvalues with finite multiplicities under two different additional conditions. Furthermore, the principal functions corresponding to the eigenvalues and the spectral singularities of this operator are determined.

Keywords

Discontinuous coefficient, Discontinuity conditions, Eigenvalues and spectral singularities, Nonself-adjoint Sturm-Liouville operator, Principal functions

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Özge Akçay
0000-0001-9691-666X
Türkiye

Nida Palamut Koşar ^*
0000-0003-2421-7872
Türkiye

Early Pub Date

June 22, 2024

Publication Date

September 24, 2024

Submission Date

December 27, 2023

Acceptance Date

June 2, 2024

Published in Issue

Year 2024 Volume: 12 Number: 3

DOI

https://doi.org/10.36753/mathenot.1410536

IZ

https://izlik.org/JA75NL95FF

APA

Akçay, Ö., & Palamut Koşar, N. (2024). Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator. Mathematical Sciences and Applications E-Notes, 12(3), 119-130. https://doi.org/10.36753/mathenot.1410536

AMA

1.Akçay Ö, Palamut Koşar N. Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator. Math. Sci. Appl. E-Notes. 2024;12(3):119-130. doi:10.36753/mathenot.1410536

Chicago

Akçay, Özge, and Nida Palamut Koşar. 2024. “Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator”. Mathematical Sciences and Applications E-Notes 12 (3): 119-30. https://doi.org/10.36753/mathenot.1410536.

EndNote

Akçay Ö, Palamut Koşar N (September 1, 2024) Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator. Mathematical Sciences and Applications E-Notes 12 3 119–130.

IEEE

[1]Ö. Akçay and N. Palamut Koşar, “Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator”, Math. Sci. Appl. E-Notes, vol. 12, no. 3, pp. 119–130, Sept. 2024, doi: 10.36753/mathenot.1410536.

ISNAD

Akçay, Özge - Palamut Koşar, Nida. “Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator”. Mathematical Sciences and Applications E-Notes 12/3 (September 1, 2024): 119-130. https://doi.org/10.36753/mathenot.1410536.

JAMA

1.Akçay Ö, Palamut Koşar N. Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator. Math. Sci. Appl. E-Notes. 2024;12:119–130.

MLA

Akçay, Özge, and Nida Palamut Koşar. “Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator”. Mathematical Sciences and Applications E-Notes, vol. 12, no. 3, Sept. 2024, pp. 119-30, doi:10.36753/mathenot.1410536.

Vancouver

1.Özge Akçay, Nida Palamut Koşar. Investigation of the Spectrum of Nonself-Adjoint Discontinuous Sturm-Liouville Operator. Math. Sci. Appl. E-Notes. 2024 Sep. 1;12(3):119-30. doi:10.36753/mathenot.1410536