Spectrum of a Differential Operator with Periodic Generalized Potential



Abstract and Applied Analysis

Spectrum of a Differential Operator with Periodic Generalized Potential

Mehmet Sahin and Manaf Dzh. Manafov

Source: Abstr. Appl. Anal. Volume 2007 (2007), 8 pages.

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.

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aaa/1204126605
Digital Object Identifier: doi:10.1155/2007/74595
Mathematical Reviews number (MathSciNet): MR2365814


2008 © Hindawi Publishing Corporation