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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1134–1141
(Mi smj1795)
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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
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
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
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https://www.mathnet.ru/eng/smj1795 https://www.mathnet.ru/eng/smj/v48/i5/p1134
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Abstract page: | 299 | Full-text PDF : | 101 | References: | 44 |
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