Email this article Spectral properties of an even-order differential operator
- Authors: Polyakov D.M.1
-
Affiliations:
- Voronezh State University
- Issue: Vol 52, No 8 (2016)
- Pages: 1098-1103
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154013
- DOI: https://doi.org/10.1134/S0012266116080176
- ID: 154013
Cite item
Open Access
Access granted
Subscription Access
Abstract
We present the spectral properties of an even-order differential operator whose domain is described by periodic and antiperiodic boundary conditions or the Dirichlet conditions. We derive an asymptotic formula for the eigenvalues, estimates for the deviations of spectral projections, and estimates for the equiconvergence rate of spectral decompositions. Our asymptotic formulas for eigenvalues refine well-known ones.
About the authors
D. M. Polyakov
Voronezh State University
Author for correspondence.
Email: DmitryPolyakow@mail.ru
Russian Federation, Voronezh
Supplementary files
