Chapman & Hall/CRC Monographs and Research Notes in Mathematics

1 total work

Topological Methods for Differential Equations and Inclusions

by John R Graef, Johnny Henderson, and Abdelghani Ouahab

Published 25 September 2018

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.