Viability Invariance and Applications

O. Carja
Viability Invariance and Applications
Popraw tę książkę | Dodaj inne wydanie

Opis

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 Nagumos 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. It covers new concepts for multi-functions as the classical tangent vectors for functions.It provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions. It includes clarifying examples, illustrations and numerous problems, completely and carefully solved. It illustrates the applications from theory into practice. It is very clear and elegant in style.
Data wydania: 2007
ISBN: 978-0-444-52761-5, 9780444527615
Język: angielski
Wydawnictwo: Elsevier Science Publishers

Gdzie kupić

Księgarnie internetowe
Sprawdzam dostępność...
Ogłoszenia
Dodaj ogłoszenie
2 osoby szukają tej książki

Moja Biblioteczka

Już przeczytana? Jak ją oceniasz?

Recenzje

Coś mi się wydaje, że książka Viability Invariance and Applications aż się prosi o Twoją recenzję. Chyba jej nie odmówisz?
️ Napisz pierwszą recenzje

Moja opinia o książce

Cytaty z książki

O nie! Książka Viability Invariance and Applications. czuje się pominięta, bo nikt nie dodał jeszcze do niej cytatu. Może jej pomożesz i dodasz jakiś?
Dodaj cytat
© 2007 - 2024 nakanapie.pl