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Evolutions of Tubes under Operability Constraints

Gorre, Anne (1997), Evolutions of Tubes under Operability Constraints, Journal of Mathematical Analysis and Applications, 216, 1, p. 1-22. http://dx.doi.org/10.1006/jmaa.1997.5476

Type
Article accepté pour publication ou publié
Date
1997
Journal name
Journal of Mathematical Analysis and Applications
Volume
216
Number
1
Publisher
Elsevier
Pages
1-22
Publication identifier
Metadata
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Author(s)
Gorre, Anne
Abstract (EN)
In this paper, we study the evolutions of tubes that can be regarded as set-valued maps with compact images from R+ to a finite dimensional vector spaceXunder some constraints that we call operability constraints. We first recall some properties of the mutational calculus in the metric space (K (X), D ) where K (X) is the set of nonempty compact subsets ofX, and D is the Hausdorff distance. The main result is the geometric characterization of the dynamics of the tubes that satisfy the operability constraint.
Subjects / Keywords
set-valued maps; tubes