Strong singularities of attractive and repulsive type to 2n-order neutral differential equation

被引：0

作者：

Xin, Yun ^{[1
]}

Yao, Shaowen ^{[2
]}

Wang, Ruichen ^{[3
]}

机构：

[1] Henan Polytech Univ, Coll Comp Sci & Technol, Jiaozuo, Henan, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China

[3] Chongqing Univ, Cqu Uc Joint Coop Inst, Chongqing, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2019年 / 2019卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Positive periodic solution; p-Laplacian; 2n-order; Neutral operator; Strong singularities of attractive and repulsive type; POSITIVE PERIODIC-SOLUTIONS; EXISTENCE;

D O I：

10.1186/s13660-019-2210-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the existence of a positive periodic solution for a kind of 2n-order neutral differential equation with a singularity, where nonlinear term g(t,x) has strong singularities of attractive and repulsive type at the origin. Our proof is based on coincidence degree theory.

引用

页数：16

共 23 条

[1]

[Anonymous], 2015, ELECTRON J DIFF 0921, DOI DOI 10.1186/s13662-015-0559-7

[2] Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable delay [J].

Ardjouni, Abdelouaheb ;

Rezaiguia, Ali ;

Djoudi, Ahcene .

ADVANCES IN NONLINEAR ANALYSIS, 2014, 3 (03) :157-163

[3] Existence of positive periodic solutions of first order neutral differential equations with variable coefficients [J].

Candan, T. .

APPLIED MATHEMATICS LETTERS, 2016, 52 :142-148

[4] Positive Periodic Solutions for a Kind of Second-Order Neutral Differential Equations with Variable Coefficient and Delay [J].

Cheng, Zhibo ;

Li, Feifan .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)

[5]

Cheng ZB, 2015, J APPL ANAL COMPUT, V5, P704

[6]

Gaines R. E., 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537

[7] Some results on second-order neutral functional differential equations with infinite distributed delay [J].

Han, Weiwei ;

Ren, Jingli .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (03) :1393-1406

[8] Existence of Positive Periodic Solutions of Fourth-order Singular p-Laplacian Neutral Functional Differential Equations [J].

Kong, Fanchao ;

Lu, Shiping .

FILOMAT, 2017, 31 (18) :5855-5868

[9] Positive periodic solutions for p-Laplacian neutral differential equations with a singularity [J].

Li, Zhiyan ;

Kong, Fanchao .

BOUNDARY VALUE PROBLEMS, 2017,

[10] Positive periodic solution to superlinear neutral differential equation with time-dependent parameter [J].

Lv, Lisha ;

Cheng, Zhibo .

APPLIED MATHEMATICS LETTERS, 2019, 98 (271-277) :271-277

← 1 2 3 →