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.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 5, pp. 1134–1141, September–October, 2007.
Original Russian Text Copyright © 2007 Romanovskiĭ R. K. and Mendziv M. V.
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Romanovskii, R.K., Mendziv, M.V. Stability of solutions to the Cauchy problem for a plane hyperbolic system with time-periodic coefficients. Sib Math J 48, 913–918 (2007). https://doi.org/10.1007/s11202-007-0093-2
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DOI: https://doi.org/10.1007/s11202-007-0093-2