TY  - JOUR
T1  - Spectral properties of the finite system of Klein-Gordon S-wave equations with condition depends on spectral parameter
AU  - Kır Arpat, Esra
AU  - Bayram, Elgiz
PY  - 2025
DA  - August
Y2  - 2024
DO  - 10.15672/hujms.1393132
JF  - Hacettepe Journal of Mathematics and Statistics
PB  - Hacettepe University
WT  - DergiPark
SN  - 2651-477X
SP  - 1300
EP  - 1307
VL  - 54
IS  - 4
LA  - en
AB  - The spectral characteristics of the operator $L$ are studied where $L$ is defined within the Hilbert space $L_{2}(\mathbb{R}_{+}, \mathbb{C}^{V})$ 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.
KW  - eigenvalues
KW  - spectral singularities
KW  - Klein-Gordon S-wave equation
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UR  - https://doi.org/10.15672/hujms.1393132
L1  - https://dergipark.org.tr/en/download/article-file/3547252
ER  -