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

Yıl 2023, Cilt: 11 Sayı: 1, 29 - 42, 28.03.2023

Cemile Nur

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

Öz

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.

Anahtar Kelimeler

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

Destekleyen Kurum

Yalova University

Proje Numarası

2019/AP/0010

Teşekkür

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

Kaynakça

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