Outward pointing inverse Preisach operators

In some recent papers, the concept of outward pointing operators has been used as a tool within the mathematical investigation of equations involving hysteresis operators and has been considered for the stop operator, the play operator, Prandtl-Ishlinskiidotlesš operators and Preisach operators. Now, for inverse Preisach operators conditions will be discussed which ensure that the outward pointing property is satisfied. As an application of the theory, a stability result for solutions of a P.D.E. with hysteresis appearing in the context of electromagnetic processes is derived. © 2007 Elsevier B.V. All rights reserved.