Linear Difference Equations of Higher Order
In this chapter we examine linear difference equations of high order, namely, those involving a single dependent variable1. Those equations arise in almost every field of scientific inquiry, from population dynamics (the study of a single species) to economics (the study of a single commodity) to physics (the study of the motion of a single body). We will be acquainted with some of these applications in this chapter. We start this chapter by introducing some rudiments of difference calculus which are essential in the study of linear equations.
KeywordsGeneral Solution Difference Equation National Income Characteristic Root Fibonacci Sequence
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- S. Goldberg, Introduction to Difference Equations, Dover, New York, 1986.Google Scholar
- P.A. Samuelson, Readings in Business Cycle Theory, Blakiston Co., Philadelphia, 1944.Google Scholar