Optimal control problems in differential equations concern the formulation and solution of problems where the objective is to determine a control function that optimises a given performance criterion, ...

The master equation is a type of PDE whose state variable involves the distribution of certain underlying state process. It is a powerful tool for studying the limit behavior of large interacting ...

Optimal control theory for differential equations is a pivotal discipline that combines rigorous mathematical analysis with practical applications in engineering, economics, and the natural sciences.