This paper concerns the spectral properties of the non-self-adjoint difference operator L generated in the Hilbert space  by the finite system of discrete Sturm-Liouville type equations and a general boundary condition. Boundary uniqueness theorems of analytic functions have been used to prove the main theorems. The operators investigated in the papers [3, 11] are special cases of L. Along with generalizing the recent studies, an example also has been stated to clarify the main results of the paper.

spectral analysis, eigenvalues, spectral singularities, discrete equation.

Received: June 25, 2021; Revised: July 5, 2021; Accepted: August 12, 2021; Published: November 12, 2021

How to cite this article: Nimet Coskun, Finite system of discrete Sturm-Liouville equations with spectral singularities and a general boundary condition, Advances in Differential Equations and Control Processes 25(2) (2021), 165-178. DOI: 10.17654/DE025020165

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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