一类非自治Rayleigh方程周期解的存在性

On Existence of Periodic Solutions of a Kind of Non-Autonomous Rayleigh Equation

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摘要研究了一类具偏差变元的非自治Rayleigh方程x″(t)+f(t,x′(t))+g(t,x(t-τ1(t)))+g(t,x(t-τ2(t)))=p(t)周期解的存在性问题,得到了一些新结果.这些结果改进和推广了已有文献中的相关结论. Existence of periodic solutions for a kind of non-autonomous Rayleigh equation x″（t）＋f（t,x′（t））＋g（t,x（t-τ1（t）））＋g（t,x（t-τ2（t）））=p（t）is studied,and some new results are obtained.Our work generalizes and improves the known results in the literature.

作者刘建平周英告

机构地区广西大学数学与信息学院中南大学数学科学与计算技术学院

出处《湘潭大学自然科学学报》 CAS CSCD 北大核心 2011年第1期11-13,21,共4页 Natural Science Journal of Xiangtan University

基金国家自然科学基金项目(10771215)

关键词 RAYLEIGH方程周期解先验估计 Rayleigh equations periodic solution priori estimate

分类号 TS195.2 [轻工技术与工程—纺织化学与染整工程]

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1GAINS R E, MAWH1N J L. Coincidence degree and nonlinear differential equations[ M]. Lecture Notes in Math, 568. Spfinger-Verlag, 1977.
2DEIML1NG K. Nonlinear functional analysis[M]. Springer-Verlag, 1985.
3WANG G Q, CHENG S S. A priori bounds for periodic solutions of a delay Rayleigh equation[J]. Appl Math Lett 1999,12:41-44.
4LU S P, GE W G, ZHENG Z X. Periodic solutions for a kind of Raleigh equation with a deviating argument (in Chinese) [J]. Acta Math Sinica, 2004,47(2) :299-304.
5LU S P, GE W G, ZHENG Z X. Periodic solutions for a kind of Rayleigh equation with a deviating argument[J]. Appl Math Lett, 2004, 17:443-449.
6LU S P, GE W G. On the exiastence of periodic solutions to a kind of Rayleigh equation with a deviating argument[J]. Adavances in Math- ematies, 2004,34(4) :425-432.
7LU S P, GE W G. On the exiastence of periodic solutions to a kind of Rayleigh equation with a deviating argument[J ]. Adavances in Mathematies, 2004,34(4) :425-432.
8ZHOU Y G, TANG X H. On existence of periodic solutions of Rayleigh equation of retarded type[J].Comp App Math, 2007,203:1-5.
9LIU B W , HUANG L H. Periodic solution for a kind of Rayleigh equation with a deviating argument[J].J Math Anal Appl, 2006,321 : 491 -500.
10ZHOU Y G, TANG X H. On existence of periodic solutions of a kind of Rayleigh equation with a deviating argument [ J ]. Nonlinear Analysis: Theory, Methods & Applications,2008,69:2 355 -2 361.

1Jianshe Yu,Zhiming Guo.A SURVEY ON THE PERIODIC SOLUTIONS TO KAPLAN-YORKE TYPE DELAY DIFFERENTIAL EQUATION-I[J].Annals of Differential Equations,2014,30(1):97-114. 被引量：1

湘潭大学自然科学学报

2011年第1期

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一类非自治Rayleigh方程周期解的存在性

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