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Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2008 / Cilt: 1 - Sayı: 2

On the basisness in $L_2$(0, 1) of the root functions in not strongly regular boundary value problems

Khanlar R. MAMEDOV
Hamza MENKEN
Pages
51–60
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

Then using these asymptotic formulas, the Riesz basisness in $L_2$(0, 1) of the root functions are proved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present article we consider the non-self adjoint Sturm-Liouville operators with periodic and anti-periodic boundary conditions which are not strongly regular.
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Key Findings & Data:We obtain the asymptotic formulas for eigenvalues and eigenfunctions of these boundary value problems, when the potential q(x) is a complexvalued function.
💡
Conclusion & Impact:Then using these asymptotic formulas, the Riesz basisness in $L_2$(0, 1) of the root functions are proved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In the present article we consider the non-self adjoint Sturm-Liouville operators with periodic and anti-periodic boundary conditions which are not strongly regular. We obtain the asymptotic formulas for eigenvalues and eigenfunctions of these boundary value problems, when the potential q(x) is a complexvalued function. Then using these asymptotic formulas, the Riesz basisness in $L_2$(0, 1) of the root functions are proved.

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Cite This Article

MAMEDOV, K. R., MENKEN, H. (2022). On the basisness in $L_2$(0, 1) of the root functions in not strongly regular boundary value problems. European Journal of Pure and Applied Mathematics (elektronik), Cilt: 1 - Sayı: 2, 51–60. https://ajindex.com/articles/511425

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References (10)

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