On Differentiability of Solutions with Respect to Parameters in State-Dependent Delay Equations

AbstractIn this paper we study differentiability of solutions with respect to parameters in state-dependent delay equations. In particular, we give sufficient conditions for differentiability of solutions in theW1,pnorm (1⩽p<∞). In establishing our main results we make use of a version of the Uniform Contraction Principle for quasi-Banach spaces