Lebesgue–Stieltjes measures and the play operator

V Recupero
2008 Journal of Physics, Conference Series  
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.
doi:10.1088/1742-6596/138/1/012022 fatcat:gaxck6lspzdy5jvwbb5xzmolde