International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 4, Pages 793-804
doi:10.1155/S0161171288000961
Abstract
In this paper we prove first that the exponential dichotomy of linear difference equations is “rough”. Moreover we prove that if the coefficient matrix of a linear difference equation is almost periodic, then the Joint property of having an exponential dichotomy with a projection P and being reducible with P by an almost periodic kinematics similarity is “rough”.