Lyapunov reducibility of any bounded and sometimes unbounded linear homogeneous differential system to some bounded linear homogeneous differential equation is established. The preservation of the additional property of periodicity of coefficients is guaranteed, and for two-dimensional or complex systems the constancy of their coefficients is preserved. The differences in feasibility of asymptotic and generalized Lyapunov reducibility from Lyapunov one are indicated.

中文翻译：

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线性微分系统对线性微分方程的可约性

建立了任何有界，有时无界线性齐次微分系统对某些有界线性齐次微分方程的Lyapunov可约性。保证了系数周期性的附加性质的保留，并且对于二维或复杂系统，保留了其系数的恒定性。指出了渐近和广义Lyapunov可约性与Lyapunov 1在可行性上的差异。