Spectral Properties of Discrete Klein–Gordon s-Wave Equation with Quadratic Eigenparameter-Dependent Boundary Condition
- 22 Downloads
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.
KeywordsEigenparameter Spectral analysis Eigenvalues Spectral singularities Discrete equation Klein–Gordon equation
The authors would like to express their thanks to the reviewers for their helpful comments and suggestions.
- Levitan BM, Sargsjan IS (1991) Sturm–Liouville and Dirac operators. Translated from the Russian mathematics and its applications (Soviet series), vol. 59Google Scholar
- Naimark MA (1960) Investigation of the spectrum and the expansion in eigenfunctions of a nonselfadjoint differential operator of the second order on a semi-axis. Am Math Soc Transl 2(16):103–193Google Scholar
- Pavlov BS (1967) The non-self-adjoint schrodinger operator I, II, III, topics in math. Phys Consult Bur NY 1968:1969Google Scholar