New results on the periodic solutions for a kind of Rayleigh equation with two deviating arguments

被引：12
|
作者：
Huang, Chuangxia [1 ]
He, Yigang
Huang, Lihong
Tan, Wen
机构：
[1] Hunan Univ, Coll Elect & Informat Engn, Changsha 410082, Hunan, Peoples R China
[2] Changsha Univ Sci & Technol, Coll Math & Comp, Changsha 410076, Hunan, Peoples R China
[3] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[4] Hunan Univ Sci & Technol, Sch Informat & Elect Engn, Xiangtan 411201, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2007年 / 46卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
Rayleigh equation; deviating argument; periodic solution; coincidence degree;
D O I：
10.1016/j.mcm.2006.11.024
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
With the help of the continuation theorem of the coincidence degree, a priori estimates, and differential inequalities, the authors make a further investigation of a class of Rayleigh equation with two deviating arguments of the form x '' + f (x'(t)) + g(1) (t, x(t - tau(1)(t))) + g(2)(t, x(t - tau(2)(t))) = p(t). Some new results on the existence of T-periodic solutions for such a system are established. Our work generalizes and improves some earlier publications. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：604 / 611
页数：8
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