Work

Some Scattering and Spectral Properties of a Difference Equation with an Interface Condition and Hyperbolic Eigenparameter

Year: 2024

Type: article

Abstract: The purpose aim of this study is to investigate the properties of scattering solutions and the scattering function of an difference equation with the interface conditions and hyperbolic parameter. We also investigate resolvent operator, Green function, continuous spectrum and the set of the eigenvalues of this problem. Finally, we present an example to demonstrate the application of our results. This work is important because the boundary condition is depend on quadratic hyperbolic parameter. This difference provides a new perspective of the problem.

Source: Turkish Journal of Mathematics and Computer Science

DOI: 10.47000/tjmcs.1438274

Author: Güler Başak Öznur

Institution: Gazi University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405682755

FWCI:

Cites: 29

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Related to: 10