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2007, 2007(Special): 580-589. doi: 10.3934/proc.2007.2007.580

Nonlinear semigroup methods in problems with hysteresis

Jana Kopfová 1,

1. 

Mathematical Institute of the Silesian University, Na Rybníčku 1, 746 01 Opava, Czech Republic

Received  September 2006 Revised  February 2007 Published  September 2007

Results from a nonlinear semigroup theory are applied to get ex- istence and uniqueness for PDEs with hysteresis. The hysteresis nonlinearity considered is of the generalized play operator type, but can be easily extended to a generalized Prandtl-Ishlinskii operator of play type, both possibly discontinuous.
Keywords: Hysteresis, nonlinear semigroups..
Mathematics Subject Classification: 47J40, 47H0.
Citation: Jana Kopfová. Nonlinear semigroup methods in problems with hysteresis. Conference Publications, 2007, 2007 (Special) : 580-589. doi: 10.3934/proc.2007.2007.580
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