Linearized comparison criteria for a nonlinear neutral differential equation
Annales Polonici Mathematici, Tome 64 (1996) no. 2, pp. 161-173
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.
Keywords:
neutral differential equations, positive solutions, linearized comparison theorems
@article{10_4064_ap_64_2_161_173,
author = {Xinping Guan and Sui Cheng},
title = {Linearized comparison criteria for a nonlinear neutral differential equation},
journal = {Annales Polonici Mathematici},
pages = {161--173},
year = {1996},
volume = {64},
number = {2},
doi = {10.4064/ap-64-2-161-173},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-64-2-161-173/}
}
TY - JOUR AU - Xinping Guan AU - Sui Cheng TI - Linearized comparison criteria for a nonlinear neutral differential equation JO - Annales Polonici Mathematici PY - 1996 SP - 161 EP - 173 VL - 64 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-64-2-161-173/ DO - 10.4064/ap-64-2-161-173 LA - en ID - 10_4064_ap_64_2_161_173 ER -
%0 Journal Article %A Xinping Guan %A Sui Cheng %T Linearized comparison criteria for a nonlinear neutral differential equation %J Annales Polonici Mathematici %D 1996 %P 161-173 %V 64 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4064/ap-64-2-161-173/ %R 10.4064/ap-64-2-161-173 %G en %F 10_4064_ap_64_2_161_173
Xinping Guan; Sui Cheng. Linearized comparison criteria for a nonlinear neutral differential equation. Annales Polonici Mathematici, Tome 64 (1996) no. 2, pp. 161-173. doi: 10.4064/ap-64-2-161-173
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