We consider a nonautonomous first-order linear differential equation with several delays and nonnegative coefficients. Some new sufficient conditions for the oscillation of all solutions are obtained in the form of an estimate for the lower limit of the sum of integrals of the coefficients. For the equation with one delay, the obtained oscillation conditions sharpen the classical Koplatadze-Chanturiya Theorem. The difference in strength between the new and available oscillation conditions is more significant for the equation with several delays.

中文翻译：

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带后效微分方程解的振荡条件及Koplatadze-Chanturiya定理的推广

我们考虑具有多个延迟和非负系数的非自治一阶线性微分方程。所有解的振荡的一些新的充分条件以对系数积分和的下限的估计的形式获得。对于具有一个延迟的方程，所获得的振荡条件使经典的 Koplatadze-Chanturiya 定理更加尖锐。对于具有多个延迟的方程，新的和可用的振荡条件之间的强度差异更为显着。