Asymptotics of the eigenvalues of Sturm-Liouville problem

Asymptotics of the eigenvalues of Sturm-Liouville problem

We prove a new asymptotic formula for the eigenvalues of Sturm-Liouville problem with summable potential. The obtained result extends and make more precise previously known formulas, and takes into account the smooth dependence of the spectral data on boundary conditions.

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Veröffentlicht in:Journal of contemporary mathematical analysis 2016-07, Vol.51 (4), p.173-181
1. Verfasser: Harutyunyan, T. N.
Format: Artikel
Sprache:eng
Schlagworte:
Differential Equations
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:We prove a new asymptotic formula for the eigenvalues of Sturm-Liouville problem with summable potential. The obtained result extends and make more precise previously known formulas, and takes into account the smooth dependence of the spectral data on boundary conditions.
ISSN:1068-3623
1934-9416
DOI:10.3103/S1068362316040026