Originally published in 1974. This book provides a rigorous and detailed introductory treatment of the theory of difference equations and their applications in the construction and analysis of dynamic economic models. It explains the theory of linear difference equations and various types of dynamic economic models are then analysed. Including plenty of examples of application throughout the text, it will be of use to those working in macroeconomics and econometrics.
Table of Contents
Preface 1. Mathematical Preliminaries 2. Introduction to Difference Equations 3. General Theory Of Linear Difference Equations 4. Linear Homogeneous Difference Equations with Constant Coefficients 5. Particular Solutions 6. Solving Linear Difference Equations Using Operators 7. Equilibrium and Stability 8. Systems of Difference Equations 9. Distributed Lags 10. Analysis of Accelerator Models 11. Linear Dynamic Economic Models 12. The Cyclic Properties of The Linear Model 13. Introduction to Optimal Control 14. Forecasting with Autoregressive Models