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一类偏差变元偶数阶p-Laplacian中立型微分方程周期解的存在性

Existence of Periodic Solutions for a Kind of Even-order p-Laplacian Neutral Differential Equation with a Deviating Argument
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摘要 利用Mawhin连续性定理,研究一类含偏差变元偶数阶p-Laplacian中立型微分方程(φp(x(t)-cx(t-δ))(n))(n)=f(x(t))x'(t)+g(t,x(t-τ(t,|x|∞,|x'|∞)))+e(t).获得其周期解存在性新的充分条件.值得注意的是g(t,x)关于x的增长级允许超过p-1. By means of Mawhin’s the continuation theorem, a kind of even-order p-Laplacian equation with a deviation argument of the form （ ）φp（ ）x（t）-cx（t-r） （n） （n）=f （x（t））x＆#39;（t）＋g？＆#232; ？？t,x（ ）t-τ（ ）t,｜x｜∞,｜x＆#39;｜∞ ＋e（t）. is studied. Some new sufficient conditions for the existence of periodic solutions are obtained. It is notewor-thy that the growth degree with respect to the variable x in g（t,x） is allowed to be greater than p-1.
作者 陈仕洲
机构地区 韩山师范学院数学与统计学系
出处 《韩山师范学院学报》 2013年第6期1-8,共8页 Journal of Hanshan Normal University
基金 韩山师范学院理科团队项目(项目编号:LT201202)
关键词 周期解 P-LAPLACIAN方程 偶数阶 Mawhin连续性定理 偏差变元 periodic solution p-Laplacian equation even-order Mawhin’s the continuation theo-rem deviation argument
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献9

  • 1LIU BINGWEN. Existence and uniquenees of periodic solutions for a kind of Lienard type p-Laplacian equation[J].{H}Nonlinear Analysis TMA,2008.724-729.
  • 2张志戎,鲁世平.一类具偏变元高阶p-Laplace微分方程的周期解[J].吉林大学学报（理学版）,2011,49(1):71-75. 被引量：11
  • 3LI J W,WANG G Q. Sharp inequalities for periodic functions[J].Applied Mathematics E-Notes,2005,(5):75-83.
  • 4DU BO,HU XUEPING. Periodic solutions to a p-Laplacian neutral Rayleigh equation with deviating argument[J].Appl of Math,2011,(3):253-264.
  • 5GAO F,LU S. Existence of periodic solutions for a Lienard type p-Laplacian differential equation with a deviating argument[J].{H}Nonlinear Analysis TMA,2008.4754-4763.
  • 6WANG KAI,ZHU YANGLING. Periodic solutions for a fourth-order p-Laplacian neutral functional differential equation[J].J Franklin Institute,2010.1158-1170.
  • 7GAINES R E,MAWHIN J L. Coincidence degree and nonlinear differential equations[M].{H}Berlin:Springer-Verlag,1977.95-169.
  • 8LU SHIPING,GE WEIGAO. On the existence of periodic solutions for neutral functional differential equation[J].Nonlinear nal-ysis,2003.1285-1306.
  • 9LU S,GE W. Sufficient conditions for the existence of periodic solutions to some second order differential equations with a de-viating argument[J].{H}Journal of Mathematical Analysis and Applications,2005,(2):393-419.

二级参考文献8

  • 1Cheung W S, REN Jing-li. Periodic Solution for p-Laplacian Rayleigh Equations [ J]. Nonlinear Anal: Theory, Methods & Applications, 2006, 65(10): 2003-2012.
  • 2Cheung W S, REN Jing-li. On the Existence of Periodic Solutions for p-Laplacian Generalized Lienard Equation [ J ]. Nonlinear Anal: Theory, Methods & Applications, 2005, 60( 1 ): 65-75.
  • 3LU Shi-ping, GUI Zhan-jie. On the Existence of Periodic Solutions to a p-Laplacian Rayleigh Differential Equation with a Delay [J]. J Math Anal Appl, 2007, 325(1) : 685-702.
  • 4LU Shi-ping. New Results on the Existence of Periodic Solutions to a p-Laplacian Differential Equation with a Deviating Argument [J]. J Math Anal Appl, 2007, 336(2) : 1107-1123.
  • 5JIN Shan, LU Shi-ping. Periodic Solutions for a Fourth-Order p-Laplacian Differential Equation with a Deviating Argument [J]. Nonlinear Anal: Theory, Methods & Applications, 2008, 69(5/6) : 1710-1718.
  • 6Bereanu C, Mawhin J. Existence and Multiplicity Results for Some Nonlinear Problems with Singular p-Laplacian [ J ]. J Differential Equations, 2007, 243 (2): 536-557.
  • 7ZHANG Mei-rong. Nonuniform Nonresonance at the First Eigenvalue of the p-Laplacian [ J ]. Nonlinear Anal: Theory, Methods & Applications, 1997, 29(1 ) : 41-51.
  • 8Gaines R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equations [ M ]. Berlin : Springer-Verlag, 1977 : 95-169.

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韩山师范学院学报
2013年 第6期

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