Differential equations are functional equations that contain derivatives. They can be specified directly or indirectly from optimality conditions of dynamic optimization problems. They allow for modeling distributions over any domain, time evolutions of variables, time evolution of distributions, or sample paths of stochastic processes. This chapter summarizes the main types of differential equations and dynamic optimization problems to be addressed in this book.

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Introduction and Overview

  • Paulo B. Brito

摘要

Differential equations are functional equations that contain derivatives. They can be specified directly or indirectly from optimality conditions of dynamic optimization problems. They allow for modeling distributions over any domain, time evolutions of variables, time evolution of distributions, or sample paths of stochastic processes. This chapter summarizes the main types of differential equations and dynamic optimization problems to be addressed in this book.