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Zeitschrift für Analysis und ihre Anwendungen


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Volume 21, Issue 4, 2002, pp. 963–984
DOI: 10.4171/ZAA/1120

Published online: 2002-12-31

On the Problem of Periodic Evolution Inclusions of the Subdifferential Type

R. Bader[1] and Nikolaos S. Papageorgiou[2]

(1) Technische Universität München, München Garching, Germany
(2) National Technical University of Athens, Greece

We examine nonlinear periodic evolution inclusions of the subdifferential type and prove two existence theorems: one for the "non-convex, lower semicontinuous" problem and the other for the "convex, $h$-upper semicontinuous" problem. Our method of proof is based on the theory of nonlinear operators of monotone type and on multi-valued analysis. We also present three examples from partial and ordinary differential inclusions, illustrating the applicability of our work.

Keywords: Convex subdifferential, maximal monotone operators, pseudomonotone operators, operators of type $(8)_+$, resolvent, Yosida approximation, variational inequalities

Bader R., Papageorgiou Nikolaos: On the Problem of Periodic Evolution Inclusions of the Subdifferential Type. Z. Anal. Anwend. 21 (2002), 963-984. doi: 10.4171/ZAA/1120