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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 2

On the spectral and scattering properties of eigenparameter dependent discrete impulsive Sturm–Liouville equations

Yelda AYGAR KÜÇÜKEVCİLİOĞLU
Elgiz BAIRAMOV
Güher Gülçehre ÖZBEY
Pages
988–1000
Publication Date
2022-11-04
DOI
—
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AI Summary & Key Takeaways

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

Finally, we give an example in which the main results are made explicit.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This work develops scattering and spectral analysis of a discrete impulsive Sturm–Liouville equation withspectral parameter in boundary condition.
📊
Key Findings & Data:Giving the Jost solution and scattering solutions of this problem, we findscattering function of the problem.
💡
Conclusion & Impact:Finally, we give an example in which the main results are made explicit.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This work develops scattering and spectral analysis of a discrete impulsive Sturm–Liouville equation withspectral parameter in boundary condition. Giving the Jost solution and scattering solutions of this problem, we findscattering function of the problem. Discussing the properties of scattering function, scattering solutions, and asymptoticbehavior of the Jost solution, we find the Green function, resolvent operator, continuous and point spectrum of theproblem. Finally, we give an example in which the main results are made explicit.

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Cite This Article

KÜÇÜKEVCİLİOĞLU, Y. A., BAIRAMOV, E., ÖZBEY, G. G. (2022). On the spectral and scattering properties of eigenparameter dependent discrete impulsive Sturm–Liouville equations. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 2, 988–1000. https://ajindex.com/articles/607397

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