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Matematicheskie Zametki, 2011, Volume 89, Issue 2, Pages 190–203
DOI: https://doi.org/10.4213/mzm8634 (Mi mzm8634) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Hyperbolic Operator Semigroups and Lyapunov's Equation

A. G. Baskakov, A. A. Vorobjev, M. Yu. Romanova

Voronezh State University
Full-text PDF (554 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm8634
Abstract: We obtain necessary and sufficient conditions for the hyperbolicity of a semigroup of operators. In so doing, we use Lyapunov's equation in operator form constructed from its generator.
Keywords: hyperbolic semigroup of operators, Lyapunov's equation, exponential dichotomy, Howland hyperbolic semigroup, Banach algebra, Krein's theorem.
Received: 17.02.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 2, Pages 194–205
DOI: https://doi.org/10.1134/S0001434611010251
Bibliographic databases:
Document Type: Article
UDC: 517.984+517.986
Language: Russian
Citation: A. G. Baskakov, A. A. Vorobjev, M. Yu. Romanova, “Hyperbolic Operator Semigroups and Lyapunov's Equation”, Mat. Zametki, 89:2 (2011), 190–203; Math. Notes, 89:2 (2011), 194–205
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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