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Carte Differential Inclusions in Nonsmooth Mechanical Problems onteiro Marques

Differential Inclusions in Nonsmooth Mechanical Problems

Autor: onteiro Marques
Limbă: engleză
Legare: Copertă tare
Editura: Birkhauser Verlag AG
Disponibilitate: șansă 50%
Şanse de a obține acest titlu
432.69 lei
The book is devoted to evolution problems which arise in the dynamics of mechanical systems involvin...

Informații despre carte

Autor
onteiro Marques
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
1993
Pagini
182
EAN
9783764329006
ISBN
3764329009
Enbook ID
01716167
Editura
Birkhauser Verlag AG
Greutate
505
Dimensiuni
160 x 240 x 20

Descriere completă

The book is devoted to evolution problems which arise in the dynamics of mechanical systems involving unilateral constraints, possibly in the presence of dry friction. Collisions may be the result. In such a context, the velocity function cannot be expected to be absolutely continuous, so the traditional theory of differential equations or inclusions does not apply. Some effective numerical techniques have been proposed, but existence results were missing until now. This book starts filling that gap. At first, some typical mathematical tools are introduced, such as compactness results in the space of vector functions of bounded variation in time and approximation in the sense of graphs. The sweeping process by a moving convex set in a Hilbert space plays a central role. The latest existence results concerning this process are presented in chapter 2. In chapters 3 and 4, the study of the mechanical problems is undertaken. Connected areas of research are briefly reviewed in chapter 5. Proofs are constructive whenever possible and convergence of algorithms is often considered. The book presupposes only a moderate background in functional analysis.

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