Analytical and asymptotic properties of solutions of a non-homogeneous functional differential equation (Huan Dai -Université de Lille)

Consider a non-homogeneous functional differential equation
y'(x) = ay(qx) + by(x) + g(x),
where the non-homogeneous term g is a rational function, which can be
discussed in the following three cases: polynomials, fractions with
singularities at 0, and fractions with singularities at a non-zero constant.
We investigate the existence, analytic and asymptotic properties of solutions
in terms of these three cases respectively.