Differentiability of solutions with respect to parameters in neutral differential equations with state-dependent delays

Abstract

In this paper we consider a class of nonlinear neutral differential equations with state-dependent delays. We study well-posedness and continuous dependence issues and differentiability of the parameter map with respect to the initial function and other possibly infinite-dimensional parameters in a pointwise sense and also in the C- and W 1 , ∞ -norms.