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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
The spectrum of the operator is discussed.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, a self adjoint boundary value problem with a piecewise continuous coefficient on the positive half line [0, ∞) is considered.
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Key Findings & Data:The resolvent operator is constructed and the expansion formula with respect to eigenfunctions or equivalently Parseval equality is obtained.
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Conclusion & Impact:The spectrum of the operator is discussed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:turm-Liouville operator · eigenvalue · eigenfunction
Abstract
In this paper, a self adjoint boundary value problem with a piecewise continuous coefficient on the positive half line [0, ∞) is considered. The resolvent operator is constructed and the expansion formula with respect to eigenfunctions or equivalently Parseval equality is obtained. The spectrum of the operator is discussed.
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Cite This Article
MAMEDOV, K. R., ÇETİNKAYA, F. A. (2022). Boundary value problem for a Sturm-Liouville operator with piecewise continuous coefficient. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 4, 867–874. https://ajindex.com/articles/530299