Linear Difference Equations

András Simonovits
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András Simonovits: Hungarian Academy of Sciences

Chapter 1 in Mathematical Methods in Dynamic Economics, 2000, pp 17-48 from Palgrave Macmillan

Abstract: Abstract In this Chapter we shall consider such systems of equations where each variable has a time index £ = 0,1,2,..., and variables of different time-periods are connected in a nontrivial way. To avoid complicated situations, we assume that there is one variable at the left hand side (to be abbreviated as L.H.S) of each equation, its time index is at least as great as any other in the right hand side (to be abbreviated as R.H.S.) and at least in one equation the time index is definitely greater. Such systems of equations are called difference equations or systems of difference equations, which describe dynamical systems with discrete time. The whole book is built on this chapter.

Keywords: Characteristic Vector; Difference Equation; Characteristic Root; Linear Control System; Linear Difference Equation (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1057/9780230513532_2

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