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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 2

On GLM type integral equation for singular Sturm-Liouville operator which has discontinuous coefficient

Nilüfer TOPSAKAL
Rauf AMİROV
Pages
305–325
Publication Date
2022-06-30
DOI
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AI Summary & Key Takeaways

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

Then we prove the unique solvability of the main integral equation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we derive Gelfand-Levitan-Marchenko type main integral equation of the inverse problem for singular Sturm-Liouville equation which has discontinuous coefficient.
📊
Key Findings & Data:In this study, we derive Gelfand-Levitan-Marchenko type main integral equation of the inverse problem for singular Sturm-Liouville equation which has discontinuous coefficient.
💡
Conclusion & Impact:Then we prove the unique solvability of the main integral equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Main integral equation · GLM equation · inverse problem

Abstract

In this study, we derive Gelfand-Levitan-Marchenko type main integral equation of the inverse problem for singular Sturm-Liouville equation which has discontinuous coefficient. Then we prove the unique solvability of the main integral equation.

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Cite This Article

TOPSAKAL, N., AMİROV, R. (2022). On GLM type integral equation for singular Sturm-Liouville operator which has discontinuous coefficient. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 71 - Sayı: 2, 305–325. https://ajindex.com/articles/746642

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