Multivalued differential equations and dry friction problems. (English) Zbl 0820.34009

Deimling, Klaus

Fink, A. M. (ed.) et al., Delay and differential equations. Proceedings in honor of George Seifert on his retirement, Ames, Iowa, USA, October 18-19, 1991. Singapore: World Scientific. 99-106 (1992).

Summary: Experiments show that (in certain cases) dry friction has to be modelled by functions of velocity which are discontinuous at zero. This leads to discontinuous ODEs the qualitative theory of which can be successfully developed by the corresponding theory for associated multivalued differential equations. In this paper we indicate this connection and concentrate on periodic solutions of dry friction problems.
For the entire collection see [Zbl 0812.00024].

MSC:

34A60	Ordinary differential inclusions
34C25	Periodic solutions to ordinary differential equations

Keywords:

dry friction; multivalued differential equations; periodic solutions