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2007 Spectrum of a Differential Operator with Periodic Generalized Potential
Mehmet Sahin, Manaf Dzh. Manafov
Abstr. Appl. Anal. 2007: 1-8 (2007). DOI: 10.1155/2007/74595


We study some spectral problems for a second-order differential operator with periodic potential. Notice that the given potential is a sum of zero- and first-order generalized functions. It is shown that the spectrum of the investigated operator consists of infinite number of gaps whose length limit unlike the classic case tends to nonzero constant in some place and to infinity in other place.


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Mehmet Sahin. Manaf Dzh. Manafov. "Spectrum of a Differential Operator with Periodic Generalized Potential." Abstr. Appl. Anal. 2007 1 - 8, 2007.


Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1171.34356
MathSciNet: MR2365814
Digital Object Identifier: 10.1155/2007/74595

Rights: Copyright © 2007 Hindawi

Vol.2007 • 2007
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