C1 + α-strict solutions and wellposedness of abstract differential equations with state dependent delay

We study the existence and uniqueness of C1+αC1+α-strict solutions for a general class of abstract differential equations with state dependent delay. We also study the local well-posedness of this type of problems on subspaces of C1+α([−p,0];X)C1+α([−p,0];X). Some examples involving partial differential equations are presented.