Overview

This book includes new concepts for multi-functions as the classical tangent vectors for functions. It provides the very general and necessary conditions for viability in the case of differential inclusions, semilinear and fully nonlinear evolution inclusions. It contains clarifying examples, illustrations and numerous problems, completely and carefully solved. It illustrates the applications from theory into practice. It is presented in a very clear and elegant style. The book collects some of the main mathematical concepts, results and applications in the particularly flourishing field of differential equations whose solutions are constrained to live in a given set. In other words, the problem is to find the proper theoretical conditions in order that certain phenomena evolve within some pre-assigned bounds imposed by the objective we intend to reach. The cases of an aircraft which has to stay in a pre-assigned air-tunnel, or of the concentration of substance which, on its long term evolution, must obey some requirements, are specific examples of this sort of problems.

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9786611021559

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