Topological Methods for Differential Equations and Inclusions

1st Edition

John R. Graef, Johnny Henderson, Abdelghani Ouahab

CRC Press
Published October 2, 2018
Reference - 360 Pages
ISBN 9781138332294 - CAT# K393112
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

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Summary

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations. 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 economic, social, and biological systems are multi-valued, differential inclusions serve as natural models in macro systems with hysteresis.