Asymptotic behavior of solutions of perturbed linear difference systems

This paper is concerned with asymptotic behavior of solutions of perturbed linear difference systems. Several asymptotic results are obtained, some of which can be regarded as discrete analogs of the famous asymptotic results for differential systems, including the Hartman-Wintner theorem, the Harris-Lutz theorem, and the Eastham theorem. In addition, the conditions of a result established by Z. Benzaid and D.A. Lutz are weakened.