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e-book

Viability, Invariance and Applications (Cód: 3026523)

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

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Viability, Invariance and Applications

R$451,71

Descrição

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'apos;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 functionsProvides 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 solvedIllustrates the applications from theory into practice Very clear and elegant style

Características

Produto sob encomenda Não
Marca ELSEVIER S&T
Cód. Barras 9780080521664
Acabamento e-book
Início da Venda 18/07/2007
Territorialidade Internacional
Formato Livro Digital Pdf
Gratuito Não
Tamanho do Arquivo 4480
Proteção Drm Sim
Ano da edição 72007
Idioma 337
Código do Formato Pdf
Ano da Publicação 2007
Peso 0.00 Kg
AutorVrabie,Ioan I.; Carja,Ovidiu; Mihai Necula