Differential Equations, Discrete Systems and Control: Economic Models (Mathematical Modelling: Theory and Applications)

Halanay, A.; Samuel, J.

ISBN 10: 904814888X / ISBN 13: 9789048148882

Published by Springer, 2010

About this Item

Seller Inventory # I-9789048148882

Bibliographic Details

• Title: Differential Equations, Discrete Systems and Control: Economic Models (Mathematical Modelling: Theory and Applications)
• Publisher: Springer
• Publication Date: 2010
• Language: English
• ISBN 10: 904814888X
• ISBN 13: 9789048148882
• Binding: Soft cover
• Condition: New

About this title

Synopsis

This volume presents some of the most important mathematical tools for studying economic models. It contains basic topics concerning linear differential equations and linear discrete-time systems; a sketch of the general theory of nonlinear systems and the stability of equilibria; an introduction to numerical methods for differential equations, and some applications to the solution of nonlinear equations and static optimization. The second part of the book discusses stabilization problems, including optimal stabilization, linear-quadratic optimization and other problems of dynamic optimization, including a proof of the Maximum Principle for general optimal control problems. All these mathematical subjects are illustrated with detailed discussions of economic models. Audience: This text is recommended as auxiliary material for undergraduate and graduate level MBA students, while at the same time it can also be used as a reference by specialists.