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

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Mathematical Sciences and Applications E-Notes
Volume:11 Issue:1
Computing Eigenvalues of Sturm--Liouville Operators with a Family of Trigonometric Polynomial Potent...

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

Authors : Cemile NUR

Pages : 29-42

Doi:10.36753/mathenot.1110497

View : 28 | Download : 6

Publication Date : 2023-03-28

Article Type : Research Paper

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

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