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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1134–1141 (Mi smj1795)  
This article is cited in 7 scientific papers (total in 7 papers)

Stability of solutions to the Cauchy problem for a plane hyperbolic system with time-periodic coefficients

R. K. Romanovskii, M. V. Mendziv

Omsk State Technical University
Full-text PDF (297 kB) Citations (7)
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Abstract: Considering a plane hyperbolic system with time-periodic coefficients, we construct a version of the direct Lyapunov method with the condition on the derivative of the Lyapunov functional along the trajectories of the system which is weakened by use of periodicity of the coefficients. We exhibit an illustrative example.
Keywords: Lyapunov functional, operator of translation along characteristics.
Received: 20.04.2005
Revised: 06.09.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 913–918
DOI: https://doi.org/10.1007/s11202-007-0093-2
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: R. K. Romanovskii, M. V. Mendziv, “Stability of solutions to the Cauchy problem for a plane hyperbolic system with time-periodic coefficients”, Sibirsk. Mat. Zh., 48:5 (2007), 1134–1141; Siberian Math. J., 48:5 (2007), 913–918
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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