Academic Editor: E. Thandapani
Copyright © 2010 Serena Matucci and Pavel Řehák. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Necessary and sufficient conditions for regular or slow variation of
all positive solutions of a second-order linear difference equation with
arbitrary sign coefficient are established. Relations with the so-called
-classification are also analyzed and a generalization of the results
to the half-linear case completes the paper.