Topological Methods for Differential Equations and Inclusions
Download or Read eBook Topological Methods for Differential Equations and Inclusions PDF written by John R. Graef and published by CRC Press. This book was released on 2018-09-25 with total page 425 pages. Available in PDF, EPUB and Kindle.
Author | : John R. Graef |
Publisher | : CRC Press |
Total Pages | : 425 |
Release | : 2018-09-25 |
ISBN-10 | : 9780429822612 |
ISBN-13 | : 0429822618 |
Rating | : 4/5 (12 Downloads) |
Book Synopsis Topological Methods for Differential Equations and Inclusions by : John R. Graef
Book excerpt: 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.