Abstract
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.
| Original language | English |
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| Title of host publication | Communications in Difference Equations |
| Subtitle of host publication | Proceedings of the Fourth International Conference on Difference Equations |
| Publisher | CRC Press |
| Pages | 189-201 |
| Number of pages | 13 |
| ISBN (Electronic) | 9781482283334 |
| ISBN (Print) | 9789056996888 |
| State | Published - Jan 1 2000 |