Abstract
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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Original Russian Text © T. N. Harutyunyan, 2016, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2016, No. 4, pp. 3-16.
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Harutyunyan, T.N. Asymptotics of the eigenvalues of Sturm-Liouville problem. J. Contemp. Mathemat. Anal. 51, 173–181 (2016). https://doi.org/10.3103/S1068362316040026
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DOI: https://doi.org/10.3103/S1068362316040026