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一类具时滞变量的类p-Laplacian Liénard微分方程周期解的存在性(英文) 被引量：1

EXISTENCE OF PERIODIC SOLUTIONS FOR A p-LAPLACIAN-LIKE LINARD DIFFERENTIAL EQUATION WITH A DEVIATING ARGUMENT
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摘要 本文研究了一类具类p-Laplacian项的Liénard微分方程. 应用广义Borsuk定理, 在系数c(t)为非常值函数的情况下, 得到了该方程周期解存在性的一个新的结果. In this article, we study a kind of p-Laplacian-like Liéenard differential equation. By using the generalized Borsuk theorem in coincidence degree theory, a new result on the existence of its periodic solution is obtained in the case that the cofficient c（t） is not a constant function.
作者 梁峰 鲁世平 韩茂安
机构地区 安徽师范大学数学系 上海师范大学数学系
出处 《数学杂志》 CSCD 北大核心 2011年第1期48-54,共7页 Journal of Mathematics
基金 Supported by Natural Science Foundation of Education Department of Anhui Province (KJ2010B353) Young Teacher’s Foundation of Anhui Normal University (2008xqn46)
关键词 周期解 类p-Laplacian算子 Liénard微分方程 时滞变量 广义Borsuk定理 periodic solution p-Laplacian-like Liénard differential equation deviating argument generalized Borsuk theorem
分类号 O175.14 [理学—基础数学]
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参考文献10

  • 1Cheung Wingsum, Ren Jingli. Periodic solutions for p-Laplacian Li@nard equation with a deviating argument[J]. Nonlinear Anal., TMA., 2004, 59(1-2): 107-120.
  • 2Peng Shiguo, Zhu Siming. Periodic solutions for p-Laplacian Rayleigh equation with a deviating argument[J]. Nonlinear Anal. TMA., 2007, 67(1):138-146.
  • 3Lu Shiping. Existence of periodic solutions to a p-Laplacian Lienard differential equation with a deviating argument[J]. Nonlinear Anal. TMA., 2008, 68(6): 1453- 1461.
  • 4Lu Shiping. New results on the existence of periodic solutions for a p-Laplacian differential equation with deviating argument[J]. J. Math. Anal. Appl., 2007, 336(2): 1107-1123.
  • 5Liu Bingwen. Periodic solutions for Li6nard type p-Laplacian equation with a deviating argument [J]. Journal of Computational and Applied Mathematics, 2008, 214(1): 13-18.
  • 6Lu Shiping, Ge Weigao. Periodic solutions for second order p-Laplacian differential equation with a deviating arguments[J]. Acta Mathematica Sinica (Chinese Series), 2005, 48(5): 841-850.
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数学杂志
2011年 第1期

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