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BV periodic solutions of an evolution problem associated with continuous moving convex sets.
- Source :
- Set-Valued Analysis; Dec1995, Vol. 3 Issue 4, p381-399, 19p
- Publication Year :
- 1995
-
Abstract
- This paper is concerned with BV periodic solutions for multivalued perturbations of an evolution equation governed by the sweeping process (or Moreau's process). The perturbed equation has the form −D u∈ N( t)( u( t))+ F( t, u( t)), where C is a closed convex valued continuous T-periodic multifunction from [0, T] to ℝ, N( t)( u( t)) is the normal cone of C( t) at u( t), F: [0, T]×ℝ→ℝ is a compact convex valued multifunction and D u is the differential measure of the periodic BV solution u. Several existence results for this differential inclusion are stated under various assumptions on the perturbation F. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09276947
- Volume :
- 3
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Set-Valued Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 72698225
- Full Text :
- https://doi.org/10.1007/BF01026248