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

Bülent YILMAZ

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

Makale detayları

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

Yazarlar:

Bülent YILMAZ

Yayıncı:

Murat TOSUN

Dergi:

Mathematical Sciences and Applications E-Notes 2016 Vol.4 Issue 1, pp.15-23

Belge Tipi:

Makale

Yayın Tarihi:

4/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000542172

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

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

Özet:

 


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.

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Makale detayları

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

Yazarlar: Bülent YILMAZ

Yayıncı: Murat TOSUN

Dergi: Mathematical Sciences and Applications E-Notes 2016 Vol.4 Issue 1, pp.15-23

Belge Tipi: Makale

Yayın Tarihi: 4/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000542172

Sıklık: Üç Aylık

eISSN: 2147-6268

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

Sayı

Yazarlar:

Bülent YILMAZ

Yayıncı:

Murat TOSUN

Dergi:

Mathematical Sciences and Applications E-Notes 2016 Vol.4 Issue 1, pp.15-23

Belge Tipi:

Makale

Yayın Tarihi:

4/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000542172

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

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