A classification scheme for the eventually positive solutions of a class of higher order nonlinear difference equations is given in terms of their asymptotic magnitudes, and necessary as well as sufficient conditions for the existence of such solutions are provided.
@article{bwmeta1.element.bwnjournal-article-cmv83i1p137bwm,
author = {Wan-Tong Li and Sui Cheng},
title = {Classifications and existence of positive solutions of a higher order nonlinear difference equation},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {137-153},
zbl = {0970.39015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p137bwm}
}
Li, Wan-Tong; Cheng, Sui. Classifications and existence of positive solutions of a higher order nonlinear difference equation. Colloquium Mathematicae, Tome 84/85 (2000) pp. 137-153. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv83i1p137bwm/
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