A class of nonlinear neutral differential equations with variable coefficients and delays is considered. Conditions for the existence of eventually positive solutions are obtained which extend some of the criteria existing in the literature. In particular, a linearized comparison theorem is obtained which establishes a connection between our nonlinear equations and a class of linear neutral equations with constant coefficients.
@article{bwmeta1.element.bwnjournal-article-apmv64z2p161bwm,
author = {Xinping Guan and Sui Sun Cheng},
title = {Linearized comparison criteria for a nonlinear neutral differential equation},
journal = {Annales Polonici Mathematici},
volume = {63},
year = {1996},
pages = {161-173},
zbl = {0864.34072},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv64z2p161bwm}
}
Xinping Guan; Sui Sun Cheng. Linearized comparison criteria for a nonlinear neutral differential equation. Annales Polonici Mathematici, Tome 63 (1996) pp. 161-173. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv64z2p161bwm/
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