This book collects some recent developments in stochastic control theory with applications to financial mathematics. We first address standard stochastic contro

This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze c

As is well known, Pontryagin's maximum principle and Bellman's dynamic programming are the two principal and most commonly used approaches in solving stochastic

Stochastic optimization problems arise in decision-making problems under uncertainty, and find various applications in economics and finance. On the other hand,

This book contains an introduction to three topics in stochastic control: discrete time stochastic control, i. e. , stochastic dynamic programming (Chapter 1),