Computing Eigenvalues of Sturm--Liouville Operators with a Family of Trigonometric Polynomial Potentials

Year 2023, , 29 - 42, 28.03.2023

Cemile Nur

https://doi.org/10.36753/mathenot.1110497

Abstract

We provide estimates for the periodic and antiperiodic eigenvalues of non-self-adjoint Sturm--Liouville operators with a family of complex-valued trigonometric polynomial potentials. We even approximate complex eigenvalues by the roots of some polynomials derived from some iteration formulas. Moreover, we give a numerical example with error analysis.

Keywords

Eigenvalue estimations, Periodic and antiperiodic boundary conditions, Trigonometric polynomial potentials

Supporting Institution

Yalova University

Project Number

2019/AP/0010

Thanks

The author is thankful for the Research Fund of Yalova University (Project no. 2019/AP/0010).

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