Spectrum of a Differential Operator with Periodic Generalized Potential
Mehmet Şahin, Manaf Dzh. Manafov · Abstract and Applied Analysis · 2007
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.