A Continuation Method for a Class of Periodic Evolution Variational Inequalities

Samir Adly (1) , Daniel Goeleven (2) , Michel Théra (1)

1 DMI
2 IREMIA - Institut de REcherche en Mathématiques et Informatique Appliquées

In this paper, using the Brouwer topological degree, we prove an existence result for finite variational inequalities. This approach is also applied to obtain the existence of periodic solutions for a class of evolution variational inequalities.

Mots clés: variational inequalities; differential inclusions; topological degree; guiding functions; periodic solutions

Domaines: Optimisation et contrôle [math.OC]

Samir Adly, Daniel Goeleven, Michel Théra. A Continuation Method for a Class of Periodic Evolution Variational Inequalities. Series in Contemporary Applied Mathematics, 2007, 8, pp.1-28. ⟨10.1142/9789812709356_0001⟩. ⟨hal-00465593⟩