Spectral Properties of Discrete Klein–Gordon s-Wave Equation with Quadratic Eigenparameter-Dependent Boundary Condition

Spectral Properties of Discrete Klein–Gordon s-Wave Equation with Quadratic Eigenparameter-Dependent Boundary Condition

In this study, we consider the spectral analysis of the boundary value problem (BVP) consisting of the discrete Klein–Gordon equation and the quadratic eigenparameter-dependent boundary condition. Presenting the Jost solution and Green’s function, we investigate the finiteness and other spectral pro...

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Veröffentlicht in:Iranian journal of science and technology. Transaction A, Science Science, 2019-08, Vol.43 (4), p.1951-1955
Hauptverfasser: Yokus, Nihal, Coskun, Nimet
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Boundary value problems
Chemistry/Food Science
Earth Sciences
Eigenvalues
Engineering
Green's functions
Klein-Gordon equation
Life Sciences
Materials Science
Mathematical analysis
Mathematics
Physics
Quadratic equations
Research Paper
Spectra
Spectral analysis
Spectrum analysis
Wave equations
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Beschreibung
Zusammenfassung:In this study, we consider the spectral analysis of the boundary value problem (BVP) consisting of the discrete Klein–Gordon equation and the quadratic eigenparameter-dependent boundary condition. Presenting the Jost solution and Green’s function, we investigate the finiteness and other spectral properties of the eigenvalues and spectral singularities of this BVP under certain conditions.
ISSN:1028-6276
2364-1819
DOI:10.1007/s40995-018-00672-3