Principal Functions of Non-Selfadjoint Sturm-Liouville Problems with Eigenvalue-Dependent Boundary Conditions

Author:

Yokuş Nihal1

Affiliation:

1. Department of Mathematics, Karamanoğlu Mehmetbey University, 70100 Karaman, Turkey

Abstract

We consider the operator generated in by the differential expression , and the boundary condition , where is a complex-valued function and , with . In this paper we obtain the properties of the principal functions corresponding to the spectral singularities of .

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Spectral expansion of Sturm-Liouville problems with eigenvalue-dependent boundary conditions;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2019-07-01

2. A note on the matrix Sturm‐Liouville operators with principal functions;Mathematical Methods in the Applied Sciences;2018-11-11

3. Spectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameter;Journal of Inequalities and Applications;2015-02-03

4. Principal functions of non-selfadjoint matrix Sturm .Liouville operators with boundary conditions dependent on the spectral parameter;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2014

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