The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators

Bülent Yılmaz

doi:10.36753/mathenot.421349

EN

The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators

Abstract

In this article we obtain asymptotic formulas of arbitrary order for eigenfunctions and eigenvalues of the

non-self adjoint 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. The

eigenvalues obtained by the asymptotic method and the eigenvalues obtained by the finite difference

method followed by a numerical correction, are compared.

Keywords

Asymptotic formulas,Sturm–Liouville operators

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Bülent Yılmaz

Publication Date

April 15, 2016

Submission Date

August 5, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

DOI

https://doi.org/10.36753/mathenot.421349

IZ

https://izlik.org/JA56TC43WM

APA

Yılmaz, B. (2016). The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators. Mathematical Sciences and Applications E-Notes, 4(1), 15-23. https://doi.org/10.36753/mathenot.421349

AMA

1.Yılmaz B. The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators. Math. Sci. Appl. E-Notes. 2016;4(1):15-23. doi:10.36753/mathenot.421349

Chicago

Yılmaz, Bülent. 2016. “The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators”. Mathematical Sciences and Applications E-Notes 4 (1): 15-23. https://doi.org/10.36753/mathenot.421349.

EndNote

Yılmaz B (April 1, 2016) The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators. Mathematical Sciences and Applications E-Notes 4 1 15–23.

IEEE

[1]B. Yılmaz, “The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators”, Math. Sci. Appl. E-Notes, vol. 4, no. 1, pp. 15–23, Apr. 2016, doi: 10.36753/mathenot.421349.

ISNAD

Yılmaz, Bülent. “The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators”. Mathematical Sciences and Applications E-Notes 4/1 (April 1, 2016): 15-23. https://doi.org/10.36753/mathenot.421349.

JAMA

1.Yılmaz B. The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators. Math. Sci. Appl. E-Notes. 2016;4:15–23.

MLA

Yılmaz, Bülent. “The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 1, Apr. 2016, pp. 15-23, doi:10.36753/mathenot.421349.

Vancouver

1.Bülent Yılmaz. The Effect of the Singular Potential Functions for Eigenvalues of Sturm-Lıouville Operators. Math. Sci. Appl. E-Notes. 2016 Apr. 1;4(1):15-23. doi:10.36753/mathenot.421349