Viability, Invariance and Applications - Couverture rigide

Carja, Ovidiu; Necula, Mihai; Vrabie, Ioan I.

Couverture rigide

ISBN 10 : 0444527613 ISBN 13 : 9780444527615

Editeur : Elsevier Science Ltd, 2007

Synopsis

The book is an almost self-contained presentation of the most important concepts and results in viability and invariance. The viability of a set K with respect to a given function (or multi-function) F, defined on it, describes the property that, for each initial data in K, the differential equation (or inclusion) driven by that function or multi-function) to have at least one solution. The invariance of a set K with respect to a function (or multi-function) F, defined on a larger set D, is that property which says that each solution of the differential equation (or inclusion) driven by F and issuing in K remains in K, at least for a short time.The book includes the most important necessary and sufficient conditions for viability starting with Nagumo's Viability Theorem for ordinary differential equations with continuous right-hand sides and continuing with the corresponding extensions either to differential inclusions or to semilinear or even fully nonlinear evolution equations, systems and inclusions. In the latter (i.e. multi-valued) cases, the results (based on two completely new tangency concepts), all due to the authors, are original and extend significantly, in several directions, their well-known classical counterparts.

Détails de l'édition

• Éditeur: Elsevier Science Ltd
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 0444527613
• ISBN 13: 9780444527615
• Reliure: Relié
• Nombre de pages: 356
• Coordonnées du fabricant: ELSEVIER; https://www.elsevier.com/es-es; ; Mooswaldallee 6; Freiburg; 79108; Allemagne