Title

Asymptotic Diagonalization Of Linear Difference Equations

Document Type

Article

Publication Date

1-1-2001

Publication Title

Journal Of Difference Equations And Applications

Department

Mathematics and Computer Science

Abstract

Our purpose is to obtain conditions under which a kinematic similarity exists that reduces the linear difl'erence equation x(n+ 1) = A(n)x(n) to a linear equation with coef- ficient matrix B(n) being diagonal for sufficiently large n. It is shown that if A(n) is the sum of a bounded sequence A(n) plus a sequence P(n) --to as n-oo and if the omega-limit set of A (nj, in the associated skew-product flow, has full spectrum then such a kinematic similarity exists.

Volume

7

Issue

5

pp.

637-650

ISSN

1023-6198