Periodic solutions to a second order nonlinear neutral functional differential equation in the critical case

被引：6

作者：

Lu, SP ^{[1
]}

Gui, ZJ

Ge, WG

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

[2] Hainan Normal Univ, Dept Math, Haikou 571158, Peoples R China

[3] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2006年 / 64卷 / 07期

基金：

中国国家自然科学基金;

关键词：

periodic solution; Mawhin's continuation theorem; critical case;

D O I：

10.1016/j.na.2005.06.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors study the existence of periodic solutions for a second order neutral functional differential equation (x(t) - cx(t - tau))'' = f(x(t))x'(t) + g(t, x(t - mu(t))) + e(t) in the critical case vertical bar c vertical bar = 1. By employing Mawhin's continuation theorem and some analysis techniques, sufficient conditions are given for the existence of periodic solutions. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：1587 / 1607

页数：21

共 14 条

[1] Periodic solutions of a second order nonlinear system [J].

Cac, NP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 214 (01) :219-232

[2]

Deimling K., 2010, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7

[3]

Hale J. K., 1977, Applied Mathematical Sciences, V3

[4] Periodic solutions for a kind of second-order neutral differential systems with deviating arguments [J].

Lu, SP ;

Ge, WG .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 156 (03) :719-732

[5] Periodic solutions to a kind of neutral functional differential equation in the critical case [J].

Lu, SP ;

Ge, WG ;

Zheng, ZX .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 293 (02) :462-475

[6] Periodic solutions to neutral differential equation with deviating arguments [J].

Lu, SP ;

Ge, WG ;

Zheng, ZX .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (01) :17-27

[7] Periodic solutions for a kind of Lienard equation with a deviating argument [J].

Lu, SP ;

Ge, WG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (01) :231-243

[8] Periodic solutions for a kind of second order differential equation with multiple deviating arguments [J].

Lu, SP ;

Ge, WG .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (01) :195-209

[9] On the existence of periodic solutions for neutral functional differential equation [J].

Lu, SP ;

Ge, WG .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 54 (07) :1285-1306

[10] Some new results on the existence of periodic solutions to a kind of Rayleigh equation with a deviating argument [J].

Lu, SP ;

Ge, WG .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 56 (04) :501-514

← 1 2 →