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Existence and uniqueness of solutions of neutral delay-differential equations with state dependent delays. (English) Zbl 0631.34006
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.

##### 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