The aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with quasiderivatives. We prove comparison theorems on property A between linear and nonlinear equations. Some integral criteria ensuring property A for nonlinear equations are also given. Our assumptions on the nonlinearity of f are restricted to its behavior only in a neighborhood of zero and a neighborhood of infinity.
@article{bwmeta1.element.doi-10_2478_s11533-006-0044-3,
author = {Ivan Mojsej and J\'an Ohriska},
title = {Comparison theorems for noncanonical third order nonlinear differential equations},
journal = {Open Mathematics},
volume = {5},
year = {2007},
pages = {154-163},
zbl = {1128.34021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0044-3}
}
Ivan Mojsej; Ján Ohriska. Comparison theorems for noncanonical third order nonlinear differential equations. Open Mathematics, Tome 5 (2007) pp. 154-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0044-3/
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