Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500715 | Journal of Approximation Theory | 2005 | 35 Pages |
Abstract
We give a complete description of the structure of the spectra of Hill operatorLy=-yâ³+(acos2x+bcos4x)y,a,breal,xâ[0,Ï]with periodic or antiperiodic boundary conditions. As in Ince [Proc. London Math. Soc. 23 (1923) 56] and Magnus-Winkler [Hill's Equation, Interscience Publishers, Wiley, 1969], properties and spectra of special tridiagonal matrices is a core of our analysis.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Plamen Djakov, Boris Mityagin,