EXISTENCE OF PERIODIC SOLUTIONS FOR SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

被引：0
作者：
Li, Yongjin [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年
关键词：
Neutral differential equations; periodic solution; variational method; critical point;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By means of variational structure and critical point theory, we study the existence of periodic solutions for a second-order neutral differential equation (p(t)x'(t - T))' + f(t, x(t),x(t - T),x(t - 2T)) = g(t), x(0) = x(2kt),x'(0) = x'(2kT). where k is a given postitive integer and T is a positive number.
引用
收藏
页数：5
相关论文
共 8 条
[1]  
Belley J., 2004, ELECT J DIFFERENTIAL, V2004
[2]  
[Guo Zhiming 郭志明], 2003, [应用泛函分析学报, Acta analysis functionalis applicata], V5, P13
[3]   PERIODIC-SOLUTIONS OF NON-LINEAR DELAY EQUATIONS [J].
LAYTON, W .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 77 (01) :198-204
[4]   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
[5]  
Ma SW, 1998, NONLINEAR ANAL-THEOR, V34, P443, DOI 10.1016/S0362-546X(97)00664-0
[6]  
MAWHIN J, 1989, APPL MATH SCI, V74
[7]  
Rabinowitz P.H, 1986, CBMS REGIONAL C SERI, V65
[8]  
[王根强 Wang Genqiang], 2004, [数学学报, Acta Mathematica Sinica], V47, P379
1