A class of nonlinear delay differential equations is considered and some results on convergence of the solutions are obtained by using the generalized Lipschitz condition and the well_known Gronwall_Bellman inequality.

• 讨论了一类非线性滞后型微分方程 ,给出了一组带有分段常数自变量的滞后型微分方程以及它们的解的存在惟一性定理 ,通过推广的Lipschitz条件和Gronwall)_Bellman不定式建立了非线性滞后型微分方程和带有分段常数自变量的滞后型微分方程解之间的一致收敛性