Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2025, Erken Görünüm, 1 - 8
https://doi.org/10.15672/hujms.1393132

Öz

Kaynakça

  • [1] M. Advar and E. Bairamov, Spectral properties of non-selfadjoint difference operators, J. Math. Anal. Appl. 261 (2), 461-478, 2001.

Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations with Condition Depends on Spectral Parameter

Yıl 2025, Erken Görünüm, 1 - 8
https://doi.org/10.15672/hujms.1393132

Öz

The spectral characteristics of the operator L is studied where L is defined within the Hilbert space L2(R+,CV ) given by a finite system of Klein-Gordon type differential equations and boundary condition depends on spectral parameter. The research of the Klein-Gordon type operator continues to be an important topic for researchers due to the range of applicability of them in numerous branches of mathematics and quantum physics. Contrary to the previous works, we take the potential as complex valued and generalize the problem to the matrix Klein-Gordon operator case. The spectrum is derived by determining the Jost function and resolvent operator of the prescribed operator. Further, we provide the conditions that must be met for the certain quantitative properties of the spectrum.

Kaynakça

  • [1] M. Advar and E. Bairamov, Spectral properties of non-selfadjoint difference operators, J. Math. Anal. Appl. 261 (2), 461-478, 2001.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Operatör Cebirleri ve Fonksiyonel Analiz
Bölüm Matematik
Yazarlar

Elgiz Bayram 0000-0003-2075-5016

Esra Kır Arpat 0000-0002-6322-5130

Erken Görünüm Tarihi 27 Ocak 2025
Yayımlanma Tarihi
Gönderilme Tarihi 19 Kasım 2023
Kabul Tarihi 16 Kasım 2024
Yayımlandığı Sayı Yıl 2025 Erken Görünüm

Kaynak Göster

APA Bayram, E., & Kır Arpat, E. (2025). Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations with Condition Depends on Spectral Parameter. Hacettepe Journal of Mathematics and Statistics1-8. https://doi.org/10.15672/hujms.1393132
AMA Bayram E, Kır Arpat E. Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations with Condition Depends on Spectral Parameter. Hacettepe Journal of Mathematics and Statistics. Published online 01 Ocak 2025:1-8. doi:10.15672/hujms.1393132
Chicago Bayram, Elgiz, ve Esra Kır Arpat. “Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations With Condition Depends on Spectral Parameter”. Hacettepe Journal of Mathematics and Statistics, Ocak (Ocak 2025), 1-8. https://doi.org/10.15672/hujms.1393132.
EndNote Bayram E, Kır Arpat E (01 Ocak 2025) Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations with Condition Depends on Spectral Parameter. Hacettepe Journal of Mathematics and Statistics 1–8.
IEEE E. Bayram ve E. Kır Arpat, “Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations with Condition Depends on Spectral Parameter”, Hacettepe Journal of Mathematics and Statistics, ss. 1–8, Ocak 2025, doi: 10.15672/hujms.1393132.
ISNAD Bayram, Elgiz - Kır Arpat, Esra. “Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations With Condition Depends on Spectral Parameter”. Hacettepe Journal of Mathematics and Statistics. Ocak 2025. 1-8. https://doi.org/10.15672/hujms.1393132.
JAMA Bayram E, Kır Arpat E. Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations with Condition Depends on Spectral Parameter. Hacettepe Journal of Mathematics and Statistics. 2025;:1–8.
MLA Bayram, Elgiz ve Esra Kır Arpat. “Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations With Condition Depends on Spectral Parameter”. Hacettepe Journal of Mathematics and Statistics, 2025, ss. 1-8, doi:10.15672/hujms.1393132.
Vancouver Bayram E, Kır Arpat E. Spectral Properties of The Finite System of Klein-Gordon S-Wave Equations with Condition Depends on Spectral Parameter. Hacettepe Journal of Mathematics and Statistics. 2025:1-8.