Forced oscillations for generalized Φ-Laplacian equations with Carathéodory perturbations

Using topological methods, we study the structure of the set of forced oscillations of a class of parametric, implicit ordinary differential equations with a generalized [Formula: see text]-Laplacian-type term. We work in the Carathéodory setting. Under suitable assumptions, involving merely the Brouwer degree in Euclidean spaces, we obtain global bifurcation results. In some illustrative examples, we provide a visual representation of the bifurcating set.