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Dergiler / 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
Sayfa
831–868
Yayın Tarihi
2022-10-18
DOI
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Here we assume that the potential is a complex valued absolutely continuous function in [0,1]. 2000 Mathematics Subject Classifications: 34L10, 34B24, 47E05

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Here we assume that the potential is a complex valued absolutely continuous function in [0,1]. 2000 Mathematics Subject Classifications: 34L10, 34B24, 47E05
🔬Tür:Araştırma Makalesi
📍Kapsam:2000 Verileri
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (17)

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