Viability, Invariance and Applications (Volume 207) (North-Holland Mathematics Studies, Volume 207, Band 207) - Hardcover

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

Hardcover

ISBN 10: 0444527613 ISBN 13: 9780444527615

Verlag: Elsevier Science, 2007

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: Elsevier Science
• Erscheinungsdatum: 2007
• Sprache: Englisch
• ISBN 10: 0444527613
• ISBN 13: 9780444527615
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 356
• Kontakt zum Hersteller: ELSEVIER; https://www.elsevier.com/es-es; ; Mooswaldallee 6; Freiburg; 79108; Deutschland