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Journals / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 4

A regularized trace formula for ”weighted” Sturm-Liouville equation with point δ - interaction

Manaf Dzh. MANAFOV
Pages
1767–1774
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

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

As a result, an equation is derived for the eigenvalues of the differential operator given in this study.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we obtain a formula for the regularized trace formula for ”weighted” Sturm–Liouville equation with point δ - interaction.
📊
Key Findings & Data:At the begining, for the correct determination of solutions of analyzed equation at the point of discontinuty, the matching conditions are required.
💡
Conclusion & Impact:As a result, an equation is derived for the eigenvalues of the differential operator given in this study.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, we obtain a formula for the regularized trace formula for ”weighted” Sturm–Liouville equation with point δ - interaction. At the begining, for the correct determination of solutions of analyzed equation at the point of discontinuty, the matching conditions are required. As a result, an equation is derived for the eigenvalues of the differential operator given in this study.

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Cite This Article

MANAFOV, M. D. (2022). A regularized trace formula for ”weighted” Sturm-Liouville equation with point δ - interaction. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 4, 1767–1774. https://ajindex.com/articles/607331

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