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

Ralf Bader; Nikolaos Papageorgiou

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Displaying similar documents to “Quasilinear vector differential equations with maximal monotone terms and nonlinear boundary conditions”

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

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

Archivum Mathematicum

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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.

Extremal solutions and relaxation for second order vector differential inclusions

Evgenios P. Avgerinos, Nikolaos S. Papageorgiou (1998)

Archivum Mathematicum

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In this paper we consider periodic and Dirichlet problems for second order vector differential inclusions. First we show the existence of extremal solutions of the periodic problem (i.e. solutions moving through the extreme points of the multifunction). Then for the Dirichlet problem we show that the extremal solutions are dense in the $C^{1} (T, R^{N})$ -norm in the set of solutions of the “convex” problem (relaxation theorem).