Fixed Point Theory and Applications
Volume 2004 (2004), Issue 2, Pages 71-80
doi:10.1155/S1687182004310016

Multivalued p-Lienard systems

Abstract

We examine p-Lienard systems driven by the vector p-Laplacian differential operator and having a multivalued nonlinearity. We consider Dirichlet systems. Using a fixed point principle for set-valued maps and a nonuniform nonresonance condition, we establish the existence of solutions.