On the Basis Property in Lp( 0,1) of the Root Functions of Non-self Adjoint Sturm-Lioville Operators

Authors

  • Khanlar R. Mamedov Mersin University

Keywords:

Eigenfunctions, Basis, Periodic and anti-periodic conditions, Non-self adjoint Sturm-Liouville operator

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 Lp(0,1), p>1. Here we assume that the potential is absolutely continuous in [0,1].

Author Biography

  • Khanlar R. Mamedov, Mersin University
    Mathematics

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Published

2010-12-11

Issue

Vol. 3 No. 5: (October 2010)

Section

Differential Equations

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How to Cite

On the Basis Property in Lp( 0,1) of the Root Functions of Non-self Adjoint Sturm-Lioville Operators. (2010). European Journal of Pure and Applied Mathematics, 3(5), 831-838. https://www.ejpam.com/index.php/ejpam/article/view/837