Abstract
Qualitative and spectral properties of the form sums
, are studied in the Hilbert space L 2(0, 1). Here, (D +) is a periodic differential operator, (D −) is a semiperiodic differential operator, D ±: u ↦ −iu′, and V(x) is an arbitrary 1-periodic complex-valued distribution from the Sobolev spaces H −mαper , α ∈ [0, 1].
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 6, pp. 785–797, June, 2007.
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Mikhailets, V.A., Molyboga, V.M. Singularly perturbed periodic and semiperiodic differential operators. Ukr Math J 59, 858–873 (2007). https://doi.org/10.1007/s11253-007-0055-7
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DOI: https://doi.org/10.1007/s11253-007-0055-7