Email this article Spectral analysis of operator polynomials and higher-order difference operators
- Authors: Baskakov A.G.1, Kharitonov V.D.2
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Affiliations:
- Voronezh State University
- National Research University Higher School of Economics
- Issue: Vol 101, No 3-4 (2017)
- Pages: 391-405
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150002
- DOI: https://doi.org/10.1134/S0001434617030026
- ID: 150002
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Abstract
The study of the spectral properties of operator polynomials is reduced to the study of the spectral properties of the operator specified by the operator matrix. The results obtained are applied to higher-order difference operators. Conditions for their invertibility and for them to be Fredholm, as well as the asymptotic representation for bounded solutions of homogeneous difference equations are obtained.
About the authors
A. G. Baskakov
Voronezh State University
Author for correspondence.
Email: anatbaskakov@yandex.ru
Russian Federation, Voronezh
V. D. Kharitonov
National Research University Higher School of Economics
Email: anatbaskakov@yandex.ru
Russian Federation, Moscow
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