We consider a nonlinear Lienard-type system driven by a nonlinear, nonhomogeneous differential operator and a maximal monotone map. On the Carathéodory perturbation we do not impose any global growth condition. Instead we employ a Hartman-type hypotheses. Using tools from fixed point theory and the theory of operators of monotone type, we prove two existence theorems.
Nonlinear nonhomogeneous differential operator Maximal monotone map Hartman condition Leray–Schauder alternative principle Lienard system
Mathematics Subject Classification
This is a preview of subscription content, log in to check access.