Journal of Spectral Theory
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Published online: 2016-04-04
On the spectra of the Sturm–Liouville operator with the fast oscillating potentialRais S. Ismagilov (1) Bauman Moscow State Technical University, Russian Federation
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.
Keywords: Sturm–Liouville operator, discrete spectra, oscillating potential
Ismagilov Rais: On the spectra of the Sturm–Liouville operator with the fast oscillating potential. J. Spectr. Theory 6 (2016), 89-97. doi: 10.4171/JST/119