Neutral operator with variable parameter and third-order neutral differential equation

被引：9
|
作者：
Xin, Yun [1 ]
Cheng, Zhibo [2 ]
机构：
[1] Henan Polytech Univ, Coll Comp Sci & Technol, Jiaozuo 454000, Peoples R China
[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
neutral operator; variable parameter; positive solutions; third-order; Green's function; 2; PERIODIC-SOLUTIONS; EXISTENCE;
D O I：
10.1186/1687-1847-2014-273
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we discuss the properties of the neutral operator with variable parameter (Ax)(t) = x(t) -c(t)x(t -delta(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.
引用
收藏
页数：18
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