A spectral Problem for a Sturm–Liouville operator is considered in the functional Hilbert space on the half axis. The potential is "fast oscillating". The conditions giving a discrete spectra are indicated. The spectral asymptotic is determined.
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Rais S. Ismagilov, On the spectra of the Sturm–Liouville operator with the fast oscillating potential. J. Spectr. Theory 6 (2016), no. 1, pp. 89–97DOI 10.4171/JST/119