Stability of solutions to the Cauchy problem for a plane hyperbolic system with time-periodic coefficients |
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Authors: | R. K. Romanovskii M. V. Mendziv |
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Affiliation: | (1) Omsk State Technical University, Omsk, Russia |
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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. |
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Keywords: | Lyapunov functional operator of translation along characteristics |
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