Eigenfunction and Green’s Function Asymptotics for Hill’s Equation with Symmetric Single-Well Potential

We determine the asymptotic formulas for eigenfunctions of Hill’s equation with symmetric single-well potential under periodic and semiperiodic boundary conditions. We apply the results for eigenvalues obtained by H. Coşkun, et al. in (2019). By using these estimates for eigenfunctions, we obtain Gr...

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Veröffentlicht in:	Ukrainian mathematical journal 2022-07, Vol.74 (2), p.218-231
1. Verfasser:	Kabatas, A
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Applications of Mathematics Asymptotic methods Asymptotic properties Boundary conditions Derivatives Eigenvalues Eigenvectors Geometry Green's functions Mathematics Mathematics and Statistics Statistics
Online-Zugang:	Volltext
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