This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. We give the necessary and sufficient conditions guaranteeing the existence of bounded nonoscillatory solutions. Sufficient conditions are proved via a topological approach based on the Banach fixed point theorem.
@article{bwmeta1.element.doi-10_2478_s11533-009-0054-z,
author = {Ivan Mojsej and Alena Tarta\v lov\'a},
title = {On bounded nonoscillatory solutions of third-order nonlinear differential equations},
journal = {Open Mathematics},
volume = {7},
year = {2009},
pages = {717-724},
zbl = {1193.34068},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0054-z}
}
Ivan Mojsej; Alena Tartaľová. On bounded nonoscillatory solutions of third-order nonlinear differential equations. Open Mathematics, Tome 7 (2009) pp. 717-724. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-009-0054-z/
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