The Spectrum of Differential Operators of Order 2n with Almost Constant Coefficients
Source: Journal of Differential Equations, Volume 175, Number 1, September 2001 , pp. 130-162(33)
Publisher: Academic Press
Abstract:We discuss the spectral properties of higher order ordinary differential operators. If the coefficients differ from constants by small perturbations, then the spectral properties are preserved. In this context, “small perturbations” are either short range (i.e., integrable) or long range, but slowly varying. This generalizes classical results on second order operators. Our approach relies on an analysis of the associated differential equations with the help of uniform asymptotic integration techniques. Copyright 2001 Academic Press.
Document Type: Research Article
Publication date: September 2001