Geodesic
Linearized comparison criteria for a nonlinear neutral differential equation
Annales Polonici Mathematici, Tome 64 (1996) no. 2, pp. 161-173.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-64-2-161-173
Keywords: neutral differential equations, positive solutions, linearized comparison theorems

Xinping Guan 1 ; Sui Cheng 1

1 
@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},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1996},
     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
PB  - mathdoc
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
%I mathdoc
%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. http://geodesic.mathdoc.fr/articles/10.4064/ap-64-2-161-173/

Cité par Sources :