In this article, global asymptotic stability of solutions of non-homogeneous differential-operator equations of the third order is studied. It is proved that every solution of the equations decays exponentially under the Routh–Hurwitz criterion for the third order equations.

中文翻译：

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三阶非齐次微分算子方程的渐近稳定性

本文研究了三阶非齐次微分算子方程解的整体渐近稳定性。事实证明，在三阶方程的Routh-Hurwitz准则下，方程的每个解都呈指数衰减。