Periodic solutions for p-Laplacian neutral differential equation with multiple delay and variable coefficients

被引：0

作者：

Bi, Zhonghua ^{[1
]}

Cheng, Zhibo ^{[1
,2
]}

Yao, Shaowen ^{[1
]}

机构：

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

[2] Sichuan Univ, Dept Math, Chengdu, Sichuan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Neutral operator; p-Laplacian; Periodic solution; Extension of Mawhin's continuation theorem; Singularity; EXISTENCE; SYSTEMS;

D O I：

10.1186/s13662-018-1942-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first discuss some properties of the neutral operator with multiple delays and variable coefficients (Ax)(t) := x(t) - Sigma(n)(i=1)c(i)(t)x(t - delta(i)). Afterwards, by using an extension of Mawhin's continuation theorem, a second order p-Laplacian neutral differential equation (phi(p)(x(t) - Sigma C-n(i=1)i(t)x(t-delta(i))')'= (f) over tilde (t, x(t), x'(t)) Is studied. Some new results on the existence of a periodic solution are obtained. Meanwhile, the approaches to estimate a priori bounds of periodic solutions are different from those known in the literature.

引用

页数：24

共 19 条

[11] Periodic solutions of dissipative neutral differential systems with singular potential and p-Laplacian [J].

Li, Yong ;

Liu, Bing .

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2008, 45 (02) :251-271

[12] On the existence of periodic solutions to a p-Laplacian neutral differential equation in the critical case [J].

Lu, Shiping .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) :2884-2893

[13] Existence of periodic solutions for a kind of second-order neutral functional differential equation [J].

Lu, SP ;

Ge, WG .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (02) :433-448

[14] Periodic solutions for nonlinear systems with p-Laplacian-like operators [J].

Manasevich, R ;

Mawhin, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 145 (02) :367-393

[15] Periodic solutions for first order neutral functional differential equations with multiple deviating arguments [J].

Peng, Lequn ;

Wang, Lijuan .

ANNALES POLONICI MATHEMATICI, 2014, 111 (02) :197-213

[16] Periodic solutions for p-Laplacian neutral Rayleigh equation with a deviating argument [J].

Peng, Shiguo .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) :1675-1685

[17] Bifurcations and chaos in a discrete predator-prey model with Crowley-Martin functional response [J].

Ren, Jingli ;

Yu, Liping ;

Siegmund, Stefan .

NONLINEAR DYNAMICS, 2017, 90 (01) :19-41

[18] PERIODIC-SOLUTIONS OF LINEAR AND QUASI-LINEAR NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].

ZHANG, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (02) :378-392

[19] Periodic solutions for p-Laplacian neutral functional differential equation with deviating arguments [J].

Zhu, Yanling ;

Lu, Shiping .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) :377-385

← 1 2 →