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一类具偏差变元的p-Laplacian方程的周期解

Periodic Solutions for a Kind of p-Laplacian Equation with a Deviating Argument
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摘要 应用Manásevich-Mawhin连续性定理,研究了具偏差变元的含有2个p-Laplacian算子的微分方程周期解的存在性,获得了周期解存在的新的充分性条件,并通过实例说明本文结论的有效性. The existence of periodic solutions for a kind of p-Laplacian differential equation with two pLaplacian operators was investigated. Based on Mandsevich-Mawhin continuation theorem and some analysis skills, new sufficient conditions for the existence of periodic solutions were given. An example was provided to demonstrate the effectiveness of the proposed result.
作者 唐美兰 刘心歌
机构地区 中南大学数学与统计学院
出处 《湖南大学学报（自然科学版）》 EI CAS CSCD 北大核心 2012年第8期90-92,共3页 Journal of Hunan University:Natural Sciences
基金 国家自然科学基金资助项目(61070190) 中南大学前沿研究计划资助项目(2010QZZD015) 国家社会科学基金资助项目(10BJL020)
关键词 周期系统 P-LAPLACIAN算子 周期解 存在性 Manásevich-Mawhin连续定理 periodic systems p-Laplacian operators periodic solutions existence Mandsevich-Mawhin continuation theorem
分类号 O175.6 [理学—基础数学]
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参考文献9

  • 1LIU Bing-wen. Periodic solutions for Li6nard type p-Laplaeian equation with a deviating argument [J]. Journal of Computa- tional and Applied Mathematics, 2008, 214(1): 13-18.
  • 2LU Shi-ping. New results on the existence of periodic solu- tions to a p-Laplacian differential equation with a deviating ar- gument[J]. Journal of Mathematical Analysis and Applica- tions, 2007,336 (2) :1107-1123.
  • 3MA.NASEYICH R, MAWHIN J L. Periodic solutions for nonlinear systems with p-Laplacian-like operators[J]. Journal of Differential Equations, 1998,145(2):367-393.
  • 4ZHANG Fu-xing,LI Ya. Existence and uniqueness of periodic- solutions for a kind of Dulling type p-Laplaeian equation[J]. Nonlinear Analysis: Real World Applications, 2008,9(1) :985 -989.
  • 5ZHOU Ying-gao, TANG Xian-hua. Periodic solutions for a kind of Rayleigh equation with a deviating argument[J]. Com- puters ~. Mathematics with Applications, 2007,53 (5) : 825 - 830.
  • 6ZONG Ming-gang, LIANG Hong-zhen. Periodic solutions for Rayleigh type p-Laplacian equation with deviating arguments [J].Applied Mathematics Letters, 2007,20 (1) : 43- 47.
  • 7XIAO Bing, LIU Bing-wen. Periodic solutions for RayIeigh type p-Laplaeian equation with a deviating argument[J]. Non- linear Analysis: Real World Applications, 2009,10 ( 1 ) : 16 - 22.
  • 8WANG Gen-qiang, YAN ]u-rang. On existence of periodic so- lutions of the Rayleigh equation of retarded type[J]. The In- ternational Journal of Mathematics and Mathematical Sciences, 2000,23 (1): 65-68.
  • 9WANG Gen-qiang, CHENG Sui-sun. A priori bounds for peri- odic solutions of a delay Rayleigh equation[J]. Applied Mathe- matics Letters,1999,12(3) :41-44.
湖南大学学报（自然科学版）
2012年 第8期

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