Linearized comparison criteria for a nonlinear neutral differential equation
Volume 64 / 1996
Annales Polonici Mathematici 64 (1996), 161-173
DOI: 10.4064/ap-64-2-161-173
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.
