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具偏差变元的广义平均曲率方程周期解问题(英文) 被引量：2

Periodic solutions for a kind of prescribed mean curvature equation with a deviating argument
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摘要 本文应用Mawhin重合度拓展定理研究了一类具偏差变元的广义平均曲率方程(x′(t)1+(x′(t))2)′+f(x′(t))+g(x(t-τ(t)))=p(t)周期解的存在性问题,得到了与周期解存在性相关的一些结果. In this paper,the authors study the existence of periodic solutions for prescribed mean curva-ture equation with a deviating argument （ x′（t）1＋（x′（t））2 ）′＋f（x′（t））＋g（x（t-τ（t）））=p（t）.By using coincidence degree theory and some analysis methods,some existence results are presented.
作者 梁载涛 鲁世平
机构地区 安徽师范大学数学与计算机科学学院 南京信息工程大学数理学院
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2014年第2期240-247,共8页 Journal of Sichuan University(Natural Science Edition)
基金 国家自然科学基金(11271197)
关键词 周期解 重合度拓展定理 广义平均曲率方程 Periodic solution Coincidence degree Prescribed mean curvature equation
分类号 O175.6 [理学—基础数学]
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参考文献12

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同被引文献7

  • 1LI J, LUO J L, CA1 Y. Periodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument[J]. Adv Differ Equ,2013,2013(1) :1-11.
  • 2LI Z Y, AN T Q, GE W G. Existence of periodic solutions for a prescribed mean curvature Lienard p-Laplaceian equation with two delays[J]. Adv Differ Equ,2014,2014(1) .. 1-10.
  • 3WANG D S. Existence and uniqueness of periodic solutions for prescribed mean curvature Rayleigh type p-Laplaceian equation[J]. J Appl Math Comput, 2014,46 (1-2) : 181-Z00.
  • 4FENG M Q. Periodic solutions for prescribed mean curvature Lienard equation with a deviating argument[J]. Nonlinear Anal: Real Word Appl, 2012,13(3) .. 1216-1223.
  • 5GAINES R E, MAWHIN J L. Coincidence degree and Nonlinear Differential equation[M]. Berlin: Springer,1977.
  • 6TANG X H, XIAO L. Homoclinic solutions for ordinary p-Laplacian systems with a coercive potential[J]. Nonlinear Anal.. Theory, Methods and Applications,2009,71(3) :1124-1132.
  • 7陈文斌,高芳,鲁世平.一类时滞微分方程周期解的存在性[J].四川大学学报（自然科学版）,2014,51(3):455-458. 被引量：5

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四川大学学报（自然科学版）
2014年 第2期

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