Back to Search
Start Over
A differential equation approach to implicit sweeping processes.
- Source :
-
Journal of Differential Equations . Apr2019, Vol. 266 Issue 8, p5168-5184. 17p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper, we study an implicit version of the sweeping process. Based on methods of convex analysis, we prove the equivalence of the implicit sweeping process with a differential equation, which enables us to show the existence and uniqueness of the solution to the implicit sweeping process in a very general framework. Moreover, this equivalence allows us to give a characterization of nonsmooth Lyapunov pairs and invariance for implicit sweeping processes. The results of the paper are illustrated with two applications to quasistatic evolution variational inequalities and electrical circuits. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 266
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 134464889
- Full Text :
- https://doi.org/10.1016/j.jde.2018.10.024