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

Year 2016, Volume: 4 Issue: 1, 15 - 23, 15.04.2016

Bülent Yılmaz

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

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

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