Singular initial value problems for functional - differential equastions: solvability, number of solutions, asymptotics

We will speak about linear, perturbed linear and nonlinear equations. Also we will speak about hybrid systems which contain boss regular and singular subsistems, or which contain subsistems with distinct types of singularity. We find solutions with required asymptotic properties by means of qualitative methods. Most of the results are new and have not been published before.