Open Access

Multivalued -Lienard systems

  • Michael Michael Filippakis1Email author and
  • Nikolaos S Papageorgiou1
Fixed Point Theory and Applications20042004:624076

Received: 7 October 2003

Published: 7 June 2004


We examine -Lienard systems driven by the vector -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.

Authors’ Affiliations

Department of Mathematics, National Technical University


© Filippakis and Papageorgiou 2004