Viability, Invariance and Applications, Volume 207 (Hardcover, 207th edition)

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.
- New concepts for multi-functions as the classical tangent vectors for functions
- Provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions
- Clarifying examples, illustrations and numerous problems, completely and carefully solved
- Illustrates the applications from theory into practice
- Very clear and elegant style

General

Imprint:	Elsevier Science Ltd
Country of origin:	United Kingdom
Series:	North-Holland Mathematics Studies
Release date:	June 2007
First published:	2007
Authors:	Ovidiu Carja • Mihai Necula • Ioan I. Vrabie
Dimensions:	240 x 165 x 19mm (L x W x T)
Format:	Hardcover
Pages:	356
Edition:	207th edition
ISBN-13:	978-0-444-52761-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Academic & Education > Professional & Technical > Mathematics
LSN:	0-444-52761-3
Barcode:	9780444527615

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