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

共 50 条

[1] Neutral operator with variable parameter and third-order neutral differential equation
Yun Xin
Zhibo Cheng
Advances in Difference Equations, 2014
[2] On the periodic solutions of third-order neutral differential equation
Bicer, Emel
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (02) : 2013 - 2020
[3] EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF THIRD-ORDER GENERALIZED NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER
A.M.Mahmoud
E.S.Farghaly
Annals of Applied Mathematics, 2018, 34 (03) : 285 - 301
[4] Oscillation of third-order neutral differential equations with oscillatory operator
Bartusek, Miroslav
TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (08) : 3069 - +
[5] Multiplicity Results for Variable-Coefficient Singular Third-Order Differential Equation with a Parameter
Cheng, Zhibo
Xin, Yun
ABSTRACT AND APPLIED ANALYSIS, 2014,
[6] PERIODIC SOLUTIONS FOR A NEUTRAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER
Du, Bo
Zhao, Jianxin
Ge, Weigao
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 33 (02) : 275 - 283
[7] Neutral Operator and Neutral Differential Equation
Ren, Jingli
Cheng, Zhibo
Siegmund, Stefan
ABSTRACT AND APPLIED ANALYSIS, 2011,
[8] Existence of Nonoscillatory Solutions for a Third-Order Nonlinear Neutral Delay Differential Equation
Liu, Zeqing
Chen, Lin
Kang, Shin Min
Cho, Sun Young
ABSTRACT AND APPLIED ANALYSIS, 2011,
[9] Existence results for third-order impulsive neutral differential equations with deviating arguments
Ye, Guobing
Zhao, Yulin
Huang, Li
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[10] Oscillation of Third-Order Nonlinear Neutral Differential Equations
Liska, Petr
DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS, 2018, 230 : 233 - 245

← 1 2 3 4 5 →