Forced oscillations for Φ-Laplacian equations involving delayed terms

We study the forced oscillations of a class of parametric, implicit delay differential equations involving a generalized Φ-Laplacian type differential operator, in which the perturbing term is allowed to contain a fixed delay. Under suitable assumptions, we obtain a global bifurcation result from which we deduce a Rabinowitz-type bifurcation theorem and a continuation result. We also explore the case when the Φ-Laplacian operator depends on delayed effects. Unlike many topological approaches, ours is essentially finite-dimensional, based on Brouwer degree.