# Sufficient conditions for the convergence of the V. A. Marchenko asymptotic series for eigenvalues of the Sturm&ndash;Liouville problem

 1Makarov, VL1Institute of Mathematics of the NAS of Ukraine, Kyiv Dopov. Nac. akad. nauk Ukr. 2014, 11:16-21 https://doi.org/10.15407/dopovidi2014.11.016 Section: Mathematics Language: Ukrainian Abstract:  We state sufficient conditions for the convergence of the V. A. Marchenko asymptotic series for $\sqrt{\lambda_{n}}$, where $\lambda_{n}$ are the eigenvalues of the Sturm–Liouville problem with polynomial potential, by using the functional discrete method. Keywords: conditions for the convergence, Sturm–Liouville problem, V. A. Marchenko asymptotic series
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