Asymptotic and Numerical Methods in Estimating Eigenvalues-Reference-Cited by-同舟云学术

Asymptotic and Numerical Methods in Estimating Eigenvalues

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Yıldız Guldem¹^ORCID,Yılmaz Bulent²,Veliev O. A.³

Affiliation:

1. Department of Mathematics, Nigde University, 51200 Nigde, Turkey

2. Department of Math, Faculty of Science and Letters, Marmara University, Göztepe Kampüsü, Kadiköy, 81040 Istanbul, Turkey

3. Department of Mathematics, Dogus University, Acıbadem, Kadiköy, 81010 Istanbul, Turkey

Abstract

Asymptotic formulas and numerical estimations for eigenvalues of SturmLiouville problems having singular potential functions, with Dirichlet boundary conditions, are obtained. This study gives a comparison between the eigenvalues obtained by the asymptotic and the numerical methods.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/415479.pdf

Reference22 articles.

1. Asymptotic formulas for Dirichlet boundary value problems

2. The Spectral Expansion for a Nonself-adjoint Hill Operator with a Locally Integrable Potential

3. Spectral Operators,1988

4. Some comments on Sturm-Liouville eigenvalue problems with interior singularities

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