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
TypeArticle accepté pour publication ou publié
Journal nameJournal of Mathematical Analysis and Applications
MetadataShow full item record
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 / Keywordsset-valued maps; tubes
Showing items related by title and author.
Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits Alvarez Borges, Frank Ernesto; Carrillo, José; Clairambault, Jean (2021) Document de travail / Working paper
The obstacle version of the Geometric Dynamic Programming Principle: Application to the pricing of American options under constraints Bouchard, Bruno; Vu, Thanh Nam (2010) Article accepté pour publication ou publié
Computation of solutions to the Moskowitz Hamilton-Jacobi-Bellman equation under viability constraints Saint-Pierre, Patrick; Claudel, Christian; Bayen, Alexandre M. (2008-01) Communication / Conférence