Newton and Bouligand derivatives of the scalar play and stop operator

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We prove that the play and the stop operator possess Newton and Bouligand derivatives, and exhibit formulas for those derivatives. The remainder estimate is given in a strengthened form, and a corresponding chain rule is developed. The construction of the Newton derivative ensures that the mappings involved are measurable.

Original languageEnglish
Article number51
JournalMathematical Modelling of Natural Phenomena
StatePublished - 2020


  • Bouligand derivative
  • Chain rule
  • Hysteresis operator
  • Maximum functional
  • Measurable selector
  • Newton derivative
  • Play, stop
  • Rate independence
  • Semismooth
  • Sensitivity
  • Variational inequality


Dive into the research topics of 'Newton and Bouligand derivatives of the scalar play and stop operator'. Together they form a unique fingerprint.

Cite this