Extremal solutions and relaxation for second order vector differential inclusions

Evgenios P. Avgerinos; Nikolaos S. Papageorgiou

Displaying similar documents to “Extremal solutions and relaxation for second order vector differential inclusions”

Periodic solutions for differential inclusions in $ℝ^{N}$

Michael E. Filippakis, Nikolaos S. Papageorgiou (2006)

Archivum Mathematicum

Similarity:

We consider first order periodic differential inclusions in $ℝ^{N}$ . The presence of a subdifferential term incorporates in our framework differential variational inequalities in $ℝ^{N}$ . We establish the existence of extremal periodic solutions and we also obtain existence results for the “convex” and “nonconvex”problems.

Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions

Ralf Bader, Nikolaos Papageorgiou (2000)

Annales Polonici Mathematici

Similarity:

We consider a quasilinear vector differential equation which involves the p-Laplacian and a maximal monotone map. The boundary conditions are nonlinear and are determined by a generally multivalued, maximal monotone map. We prove two existence theorems. The first assumes that the maximal monotone map involved is everywhere defined and in the second we drop this requirement at the expense of strengthening the growth hypothesis on the vector field. The proofs are based on the theory of...