On the spectral properties of a second-order differential operator with a matrix potential
- Authors: Uskova N.B.1
-
Affiliations:
- Voronezh State Technical University
- Issue: Vol 52, No 5 (2016)
- Pages: 557-567
- Section: Ordinary Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/153797
- DOI: https://doi.org/10.1134/S0012266116050049
- ID: 153797
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Abstract
By applying the method of similar operators to a second-order differential operator with a matrix potential and semiperiodic boundary conditions, we obtain asymptotic estimates for the weighted mean eigenvalue and spectral projections and prove the equiconvergence of spectral expansions.
About the authors
N. B. Uskova
Voronezh State Technical University
Author for correspondence.
Email: nat-uskova@mail.ru
Russian Federation, Voronezh
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