Galerkin approximations for nonlinear evolution inclusions

Shouchuan Hu; Nikolaos S. Papageorgiou

Displaying similar documents to “Galerkin approximations for nonlinear evolution inclusions”

Nonlinear boundary value problems for second order differential inclusions

Sophia Th. Kyritsi, Nikolaos M. Matzakos, Nikolaos S. Papageorgiou (2005)

Czechoslovak Mathematical Journal

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In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form $x \mapsto a {(x, x^{'})}^{'}$ . In this problem the maximal monotone term is required to be defined everywhere in the state space $ℝ^{N}$ . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form $x \mapsto {(a (x) x^{'})}^{'}$ . In this...

A fixed point theorem for a multivalued non-self mapping

Billy E. Rhoades (1996)

Commentationes Mathematicae Universitatis Carolinae

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We prove a fixed point theorem for a multivalued non-self mapping in a metrically convex complete metric space. This result generalizes Theorem 1 of Itoh [2].