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Topological Methods for Differential Equations and Inclusions : Chapman & Hall/CRC Monographs and Research Notes in Mathematics - John R. Graef

Topological Methods for Differential Equations and Inclusions

By: John R. Graef, Johnny Henderson, Abdelghani Ouahab

Hardcover | 2 October 2018 | Edition Number 1

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This book covers important topics involving topological methods in the theory of systems of differential equations (DE's). The equivalence between a control system and the corresponding differential inclusion is the central idea used to prove existence theorems in optimal control theory. Since the dynamics of economical, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis. In this book, the authors present the essential background in multivalued analysis, before developing ideas such as Vietoris topology, a variety of fixed point theorems including those of Kakutani, Fan, Leray and Schauder and systems of impulsive DE's.

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