This article is cited in 8 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.

UDC: 517.95

Received: 20.04.2005
Revised: 06.09.2006

 English version: Siberian Mathematical Journal, 2007, 48:5, 913–918

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