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具偏差变元的Rayleigh方程周期解问题
引用本文:鲁世平,葛渭高,郑祖庥.具偏差变元的Rayleigh方程周期解问题[J].数学学报,2004,47(2):299-304.
作者姓名:鲁世平  葛渭高  郑祖庥
作者单位:1. 安徽师范大学数学系,芜湖,241000
2. 北京理工大学应用数学系,北京,100081
3. 安徽大学数学系,合肥,230039
基金项目:国家自然科学基金资助项目(19871005),安徽省教育厅自然科学基金资助项目(2002kj133)
摘    要:利用Mawhin重合度拓展定理研究了一类具偏差变元的Rayleigh方程x”(t)+f(x'(t))+g(x(t-τ(t)))=p(t)周期解问题,得到了周期解存在性的若干新的结果,推广了已有的结果(见文8]).

关 键 词:周期解  偏差变元  Rayleigh方程
文章编号:0583-1431(2004)02-0299-06

Periodic Solutions for a Kind of Rayleigh Equation with a Deviating Argument
Shi Ping LU.Periodic Solutions for a Kind of Rayleigh Equation with a Deviating Argument[J].Acta Mathematica Sinica,2004,47(2):299-304.
Authors:Shi Ping LU
Institution:Shi Ping LU (Department of Mathematics, Anhui Normal University, Wuhu 241000, P. R. China) Wei Gao GE (Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China) Zu Xiu ZHENG (Department of Mathematics, Anhui University, Hefei 230039, P. R. China)
Abstract:By employing the continuation theorem of coincidence degree theory developed by Mawhin, we study a kind of Rayleigh equation with a deviating argument as follows x11(t) + f(x'(t)) + g(x(t -?τ(t))) = p(t), and some new results on the existence of periodic solutions are obtained. Our work generalizes the knowen result (see 8]).
Keywords:Periodic solution  Deviating argument  Rayleigh equation
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