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Journals / European Journal of Pure and Applied Mathematics (elektronik) / 2010 / Cilt: 3 - Sayı: 5

On the basis property in $L_p(0,1)$ of the root functions of a class non self adjoint Sturm-Lioville operators

Khanlar R. MAMEDOV
Pages
831–868
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

Here we assume that the potential is a complex valued absolutely continuous function in [0,1]. 2000 Mathematics Subject Classifications: 34L10, 34B24, 47E05

📌 3 Key Takeaways

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Objective & Hypothesis:In the present paper, we prove the basisness of the root functions of the non self adjoint Sturm-Liouville operators with periodic and anti-periodic boundary conditions in space $L_p(0,1), p > 1$.
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Key Findings & Data:In the present paper, we prove the basisness of the root functions of the non self adjoint Sturm-Liouville operators with periodic and anti-periodic boundary conditions in space $L_p(0,1), p > 1$.
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Conclusion & Impact:Here we assume that the potential is a complex valued absolutely continuous function in [0,1]. 2000 Mathematics Subject Classifications: 34L10, 34B24, 47E05
🔬Design:Research Article
📍Scope:2000 Verileri
⚙️Variables:Domain Parameters

Abstract

In the present paper, we prove the basisness of the root functions of the non self adjoint Sturm-Liouville operators with periodic and anti-periodic boundary conditions in space $L_p(0,1), p > 1$. Here we assume that the potential is a complex valued absolutely continuous function in [0,1]. 2000 Mathematics Subject Classifications: 34L10, 34B24, 47E05

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Cite This Article

MAMEDOV, K. R. (2022). On the basis property in $L_p(0,1)$ of the root functions of a class non self adjoint Sturm-Lioville operators. European Journal of Pure and Applied Mathematics (elektronik), Cilt: 3 - Sayı: 5, 831–868. https://ajindex.com/articles/511369

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