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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 2, Pages 444–453 (Mi smj1188)  
This article is cited in 10 scientific papers (total in 10 papers)

The method of Lyapunov functionals for neutral type linear difference-differential systems with almost periodic coefficients

R. K. Romanovskii, G. A. Trotsenko

Omsk State Technical University
Full-text PDF (205 kB) Citations (10)
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Abstract: A version of the direct Lyapunov method is suggested for the systems under study with the condition weakened on the derivative of the functional along the trajectories of the system as compared with the familiar results for equations with arbitrary continuous coefficients.
Keywords: neutral type equation, almost periodic coefficients, version of the direct Lyapunov method, asymptotic and weak exponential stability, hull of an almost periodic matrix, resolving pair.
Received: 03.08.2001
Revised: 09.07.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 2, Pages 355–362
DOI: https://doi.org/10.1023/A:1022901308215
Bibliographic databases:
UDC: 517.929
Language: Russian
Citation: R. K. Romanovskii, G. A. Trotsenko, “The method of Lyapunov functionals for neutral type linear difference-differential systems with almost periodic coefficients”, Sibirsk. Mat. Zh., 44:2 (2003), 444–453; Siberian Math. J., 44:2 (2003), 355–362
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\pages 355--362
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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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