Asymptotic formulas for Dirichlet boundary value problems-Reference-Cited by-同舟云学术

Asymptotic formulas for Dirichlet boundary value problems

Published:2005-05-01 Issue:2 Volume:42 Page:153-171
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Yilmaz Bülent¹,Veliev O. A.²

Affiliation:

1. 1 Department of Mathematics, Faculty of Science and Letter, Marmara University, Göztepe Kampüsü 34722, Kadiköy, Istanbul, Turkey

2. 2 Department of Mathematics, Dogus University, Acibadem 34722, Kadiköy, Istanbul, Turkey

Abstract

In this article we obtain asymptotic formulas of arbitrary order for eigenfunctions and eigenvalues of the nonselfadjoint Sturm-Liouville operators with Dirichlet boundary conditions, when the potential is a summable function. Then using these we compute the main part of the eigenvalues in special cases.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.42.2005.2.3

Reference6 articles.

1. Sturm-Liouville Operators and Applications

2. Naimark, M. A., LINEAR DIFFERENTIAL OPERATORS, George G. Harap & Company (1967).

3. Some General Preblem of the theory of ordinary linear differential equations and expansion of an arbitrary function in series of fundamental functions;Ya. Tamarkin;Math. Zeit.,1927

4. The spectral expansion for a non-selfadjoint Hill operator with a locally integrable potential;O. Veliev;Journal of Math. Analysis and Appl.,2002

5. Boundary value problems and expansion problem of ordinary linear differential equations;G. Birkhoff;Trans. Amer. Math. Soc.,1908

Cited by 8 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. Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential;Boundary Value Problems;2023-10-04

2. A General Existence Theorem and Asymptotics for Non-self-adjoint Sturm-Liouville Problems;Differential Equations and Dynamical Systems;2023-01-06

3. On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions;Boundary Value Problems;2018-12

4. The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators;Mathematical Sciences and Applications E-Notes;2016-04-15

5. On Bounds of Eigenvalues of Complex Sturm-Liouville Boundary Value Problems;Abstract and Applied Analysis;2014