Sufficient conditions for the convergence of the V. A. Marchenko asymptotic series for eigenvalues of the Sturm–Liouville problem
DOI:
https://doi.org/10.15407/dopovidi2014.11.016Keywords:
conditions for the convergence, Sturm–Liouville problem, V. A. Marchenko asymptotic seriesAbstract
We state sufficient conditions for the convergence of the V. A. Marchenko asymptotic series for 
where λn are the eigenvalues of the Sturm–Liouville problem with polynomial potential, by using the functional discrete method.
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Marchenko V. A. Sturm-Liouville operators and their applications, Kiev: Nauk. Dumka, 1997 (in Russian).
Makarov V. L., Romanyuk N. M., Lazurchak I. I. Zb. pr. In-tu matemayky NAN Ukr., 2013, 10, No 3: 145–170 (in Ukrainian).
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