# Linearized comparison criteria for a nonlinear neutral differential equation

Annales Polonici Mathematici (1996)

- Volume: 64, Issue: 2, page 161-173
- ISSN: 0066-2216

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topXinping Guan, and Sui Sun Cheng. "Linearized comparison criteria for a nonlinear neutral differential equation." Annales Polonici Mathematici 64.2 (1996): 161-173. <http://eudml.org/doc/269943>.

@article{XinpingGuan1996,

abstract = {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.},

author = {Xinping Guan, Sui Sun Cheng},

journal = {Annales Polonici Mathematici},

keywords = {neutral differential equations; positive solutions; linearized comparison theorems; positive solution; nonlinear neutral differential equation},

language = {eng},

number = {2},

pages = {161-173},

title = {Linearized comparison criteria for a nonlinear neutral differential equation},

url = {http://eudml.org/doc/269943},

volume = {64},

year = {1996},

}

TY - JOUR

AU - Xinping Guan

AU - Sui Sun Cheng

TI - Linearized comparison criteria for a nonlinear neutral differential equation

JO - Annales Polonici Mathematici

PY - 1996

VL - 64

IS - 2

SP - 161

EP - 173

AB - 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.

LA - eng

KW - neutral differential equations; positive solutions; linearized comparison theorems; positive solution; nonlinear neutral differential equation

UR - http://eudml.org/doc/269943

ER -

## References

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