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

被引：4

作者：

Romanovskii, R. K. ^{[1
]}

Mendziv, M. V. ^{[1
]}

机构：

[1] Omsk State Tech Univ, Omsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2007年 / 48卷 / 05期

关键词：

lyapunov functional; operator of translation along characteristics;

D O I：

10.1007/s11202-007-0093-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：913 / 918

页数：6

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