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Matematicheskie Zametki, 2014, Volume 95, Issue 1, Pages 18–25
DOI: https://doi.org/10.4213/mzm10195 (Mi mzm10195) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Spectral Analysis of Differential Operators with Unbounded Operator Coefficients in Weighted Spaces of Functions

M. S. Bichegkuev

North-Ossetia State University, Vladikavkaz
Full-text PDF (459 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10195
Abstract: The spectral properties of operators constructed from a family of evolution operators are studied in Banach spaces of vector functions defined by a weight function of pre-exponential growth. Necessary and sufficient conditions for the invertibility of such operators are obtained in terms of exponential dichotomy. We prove a spectrum mapping theorem for semigroups of Howland difference operators generated by the operator under study.
Keywords: differential operator, weighted spaces of functions, spectral properties of operators, evolution operator, exponential dichotomy, Howland difference operator, Banach space, spectrum mapping theorem.
Received: 19.10.2012
Revised: 08.02.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 1, Pages 15–21
DOI: https://doi.org/10.1134/S0001434614010027
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. S. Bichegkuev, “Spectral Analysis of Differential Operators with Unbounded Operator Coefficients in Weighted Spaces of Functions”, Mat. Zametki, 95:1 (2014), 18–25; Math. Notes, 95:1 (2014), 15–21
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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