## Abstract and Applied Analysis

### Spectrum of a Differential Operator with Periodic Generalized Potential

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2007 (2007), Article ID 74595, 8 pages.

Dates
First available in Project Euclid: 27 February 2008

https://projecteuclid.org/euclid.aaa/1204126605

Digital Object Identifier
doi:10.1155/2007/74595

Mathematical Reviews number (MathSciNet)
MR2365814

Zentralblatt MATH identifier
1171.34356

#### Citation

Sahin, Mehmet; Manafov, Manaf Dzh. Spectrum of a Differential Operator with Periodic Generalized Potential. Abstr. Appl. Anal. 2007 (2007), Article ID 74595, 8 pages. doi:10.1155/2007/74595. https://projecteuclid.org/euclid.aaa/1204126605

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