On the Riesz basis property of the root functions of a discontinuous boundary problem

被引：1

作者：

Cabri, Olgun ^{[1
]}

机构：

[1] Artvin Coruh Univ, Dept Business Adm, TR-08600 Hopa, Artvin, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 18期

关键词：

eigenfunctions; eigenvalues; Riesz basis; Sturm Liouville theory; SCHRODINGER;

D O I：

10.1002/mma.5776

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the nonself-adjoint discontinuous Sturm Liouville operator with periodic (antiperiodic) boundary condition and compatibility conditions. Asymptotic formulas of eigenvalues and eigenfunctions of the operator are obtained. Using these accurate asymptotic formulas for eigenvalues and eigenfunctions, we prove the basisness of the root functions of the boundary value problem.

引用

页码：6733 / 6740

页数：8

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