Let A > 0 be an irreducible and primitive k × k matrix. We investigate the asymptotic properties of a system of difference equations of the form y(t + 1) = [A + B(t)]y(t), where B(t) is an arbitrary k × k matrix. We characterize conditions on A and B(t) such that the normalized solution is asymptotically stabilized in the positive cone.
|Title of host publication||Communications in Difference Equations|
|Subtitle of host publication||Proceedings of the Fourth International Conference on Difference Equations|
|Number of pages||13|
|State||Published - Jan 1 2000|