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Книга Differential Inclusions in Nonsmooth Mechanical Problems onteiro Marques

Differential Inclusions in Nonsmooth Mechanical Problems

Автор: onteiro Marques
Език: Английски език
Корици: С твърди корици
Издател: Birkhauser Verlag AG
Наличност: 50% вероятност
Ще претърсим света
86.94 € 170.04 лв
The book is devoted to evolution problems which arise in the dynamics of mechanical systems involvin...

Информация за книгата

Автор
onteiro Marques
Език
Английски език
Корици
Книга - С твърди корици
Издадена
1993
страници
182
EAN
9783764329006
ISBN
3764329009
Enbook ID
01716167
Издател
Birkhauser Verlag AG
Теглоt
505
Размери
160 x 240 x 20

Пълно описание

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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