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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 1, Pages 190–198 (Mi smj1948)  
This article is cited in 8 scientific papers (total in 8 papers)

Exponential dichotomy of linear systems with almost periodic matrices

R. K. Romanovskii, L. V. Bel'gart

Omsk State Technical University
Full-text PDF (294 kB) Citations (8)
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Abstract: Using the Lyapunov direct method, we establish a condition of exponential dichotomy for the class of dynamical systems under weaker assumptions as compared to the case of an arbitrary continuous matrix on the derivative of the Lyapunov function along the trajectories. By way of application, we obtain a sufficient condition for the dichotomy of a second order almost periodic vector equation in terms of coefficients.
Keywords: dichotomy, Lyapunov function, hull of an almost periodic matrix.
Received: 28.09.2006
Revised: 18.04.2007
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 1, Pages 154–161
DOI: https://doi.org/10.1007/s11202-009-0017-4
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: R. K. Romanovskii, L. V. Bel'gart, “Exponential dichotomy of linear systems with almost periodic matrices”, Sibirsk. Mat. Zh., 50:1 (2009), 190–198; Siberian Math. J., 50:1 (2009), 154–161
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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