Branches of Forced Oscillations for a Class of Implicit Equations Involving the varphi-Laplacian
摘要
We consider a class of parametric, implicit ordinary differential equations with a generalized \(\Phi \) -Laplacian-type term, and we study the structure of the set of forced oscillations in the presence of a periodic forcing term. Under suitable assumptions we obtain global bifurcation results whose statements require only conditions involving the well-known Brouwer degree in Euclidean spaces.