On neutral functional differential equations with causal operators. II

This chapter is concerned with existence results in various function spaces for neutral functional differential equations. It focuses on the case of spaces of measurable maps, and more precisely, deals with the Lebesgue spaces. Of course, the solution will be meant in Carathéodory’s sense. The chapter also examines the case of linear equations of the form, when the existence results are globally valid. It also presents a discussion of the global existence in the nonlinear cases.