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

页数：18

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