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Journals / Conference Proceedings of Science and Technology / 2019 / Cilt: 2 Sayı: 1

On Spectral Properties of Discontinuous Differential Operator with Second Order

Yusuf ZEREN
Fatih ŞİRİN
Pages
44–50
Publication Date
2019-10-30
DOI
—
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AI Summary & Key Takeaways

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

Such spectral problems arise while one solves the problem of a loaded string fixed at both ends with a load placed in the between ends of the string by the Fourier method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we consider the spectral problem for a second-order discontinuous differential operator with a spectral parameter in the boundary condition in $L_p, 1<p<\infty$.
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Key Findings & Data:We study a method for establishing the basicity of eigenfunctions for such a problem.
💡
Conclusion & Impact:Such spectral problems arise while one solves the problem of a loaded string fixed at both ends with a load placed in the between ends of the string by the Fourier method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:spectral problem · eigenfucntions · completeness

Abstract

In this work, we consider the spectral problem for a second-order discontinuous differential operator with a spectral parameter in the boundary condition in $L_p, 1<p<\infty$. We study a method for establishing the basicity of eigenfunctions for such a problem. Such spectral problems arise while one solves the problem of a loaded string fixed at both ends with a load placed in the between ends of the string by the Fourier method.

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Cite This Article

ZEREN, Y., ŞİRİN, F. (2019). On Spectral Properties of Discontinuous Differential Operator with Second Order. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 1, 44–50. https://ajindex.com/articles/984393

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