A nonlinear difference equation involving the maximum function is studied. We derive sufficient conditions in order that eventually positive or eventually negative solutions tend to zero or to positive or negative infinity.
@article{bwmeta1.element.bwnjournal-article-zmv25i4p393bwm,
author = {Guang Zhang and Sui Cheng},
title = {Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation},
journal = {Applicationes Mathematicae},
volume = {26},
year = {1999},
pages = {393-399},
zbl = {0998.39007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv25i4p393bwm}
}
Zhang, Guang; Cheng, Sui. Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation. Applicationes Mathematicae, Tome 26 (1999) pp. 393-399. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv25i4p393bwm/
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