Minimum Principle of Pontryagin

Preface

This Project is at the interface between Optimization, Functional analysis and Dierential equation. It concerns one of the powerful methods often used to solve optimization problems with constraints; namely Minimum Pontryagin Method. It is more precisely an optimization problem with constrain, an ordinary dierential equation. Their applications cover variational calculos as well as applied areas including optimization, economics, control theory and Game theory. But we shall focus on a branch linking minimization and dierential equations.