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Journals / Turkish Journal of Mathematics and Computer Science / 2024 / Volume: 16 Issue: 2

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

Güler Başak Öznur(GAZİ ÜNİVERSİTESİ)0000-0003-4130-5348
Pages
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Publication Date
2024-12-31
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

This difference provides a new perspective of the problem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data:Finally, we present an example to demonstrate the application of our results.
💡
Conclusion & Impact:This difference provides a new perspective of the problem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Scattering function · Jost solution · asymptotic equation

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.

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Cite This Article

Öznur, G. B. (2024). Some Scattering and Spectral Properties of a Difference Equation with an Interface Condition and Hyperbolic Eigenparameter. Turkish Journal of Mathematics and Computer Science, Volume: 16 Issue: 2. https://doi.org/10.47000/tjmcs.1438274

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