Abstract
The play operator with variable characteristics and BV inputs is usually defined by means of an integral variational inequality which involves a suitable version of the Kurzweil integral. We propose here a new formulation which makes use of the Lebesgue-Stieltjes integral. In this way we can apply standard results of measure theory and obtain simpler proofs. Keywords: play operator, Lebesgue-Stieltjes measures, hysteresis, variational inequalities, functions of bounded variation.
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