We study k th order systems of two rational difference equations In particular we assume non-negative parameters and non-negative initial conditions. We develop several approaches which allow us to prove that unbounded solutions exist for certain initial conditions in a range of the parameters.
@article{bwmeta1.element.doi-10_2478_s11533-009-0051-2,
author = {Gabriel Lugo and Frank Palladino},
title = {Unboundedness results for systems},
journal = {Open Mathematics},
volume = {7},
year = {2009},
pages = {741-756},
zbl = {1185.39001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0051-2}
}
Gabriel Lugo; Frank Palladino. Unboundedness results for systems. Open Mathematics, Tome 7 (2009) pp. 741-756. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0051-2/
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