TY - JOUR AU - Xin, Yun AU - Cheng, Zhibo PY - 2014 DA - 2014/10/24 TI - Neutral operator with variable parameter and third-order neutral differential equation JO - Advances in Difference Equations SP - 273 VL - 2014 IS - 1 AB - In this article, we discuss the properties of the neutral operator with variable parameter (Ax)(t)=x(t)−c(t)x(t−δ(t))and by applying Green’s function of a third-order differential equation and a fixed point theorem in cones, we obtain some sufficient conditions for existence, nonexistence, multiplicity of positive periodic solutions for a generalized third-order neutral differential equation. SN - 1687-1847 UR - https://doi.org/10.1186/1687-1847-2014-273 DO - 10.1186/1687-1847-2014-273 ID - Xin2014 ER -