Under study is the problem of asymptotic but exponential stability for a class of linear autonomous neutral functional differential equations. We demonstrate that the asymptotic stability of an equation of the class takes place for all integrable initial functions if the roots of the characteristic equation lie on the left of and approach the imaginary axis.

中文翻译：

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一类中立型方程的渐近稳定性

一类线性自治中立型泛函微分方程的渐近但指数稳定性问题正在研究之中。我们证明，如果特征方程的根位于虚轴的左侧并接近虚轴，则该类方程的渐近稳定性对于所有可积分初始函数都会发生。