Jackiewicz, Zdzislaw Existence and uniqueness of solutions of neutral delay-differential equations with state dependent delays. (English) Zbl 0631.34006 Funkc. Ekvacioj, Ser. Int. 30, 9-17 (1987). It is proved that the initial-value problem for a neutral delay differential equation with state dependent delays has a unique solution with Lipschitz-continuous derivative. Moreover, this solution is the uniform limit of modified Euler sequences. Cited in 1 ReviewCited in 27 Documents MSC: 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations 34A45 Theoretical approximation of solutions to ordinary differential equations Keywords:neutral delay differential equation; state dependent delays; Lipschitz- continuous derivative; Euler sequences PDFBibTeX XMLCite \textit{Z. Jackiewicz}, Funkc. Ekvacioj, Ser. Int. 30, 9--17 (1987; Zbl 0631.34006)