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Differential Inclusions: Set-Valued Maps and Viability Theory
Posted on 2011-01-25
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More By Jean-Pierre Aubin, Arrigo Cellina The first purpose of this book is to report on the common tools and ideas which were devised and proposed by those who were attracted by this field either for its own intrinsic interest and beauty or for its potential for applications in different fields. But, besides this array of mathematical and physical motivations, social and biological sciences should provide many instances of differential inclusions. Indeed, if deterministic models are quite convenient for describing systems that arise in physics, mechanics, engineering and even, in microeconomics, their use for explaining the evolution of what we shall call "macrosystems" does not take in account the uncertainty (which, in particular, involves the impossibility of a comprehensive description of the dynamics of the system), the absence of controls (or the ignorance of the laws relating the controls and the states of the system) and the variety of available dynamics. These are reasons why usual dynamical systems, or even controled dynamical systems, may not be suitable for describing the evolution of states of systems derived from economics, social and biological. Some audiobooks in one folder is !!! Some video tutorials in one folder is !!!
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