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Periodic Solutions of Mixed Type p-Laplacian Equations with Deviating Arguments 被引量：5

Periodic Solutions of Mixed Type p-Laplacian Equations with Deviating Arguments
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摘要 Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,which are complement of previously known results. Based on Man＇aevich-Mawhin some sufficient conditions for the existence continuation theorem and some analysis skill, of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established, which are complement of previously known results.
作者 WANG Xiao-ming
机构地区 School of Mathematics and Computer Science
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第2期177-182,共6页 数学季刊（英文版）
基金 Foundation item： Supported by the Foundation of Education Department of Jiangxi Province（G J J11234） Supported by the Natural Science Foundation of Jiangxi Province（2009GQS0023） Supported by the Natural Science Foundation of Shangrao Normal University（1001）
关键词 P-LAPLACIAN periodic solutions mixed type deviating argument Man’asevichMawhin continuation theorem p-Laplacian periodic solutions mixed type deviating argument Manasevich-Mawhin continuation theorem
分类号 O175.25 [理学—基础数学]
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参考文献10

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同被引文献71

  • 1QIAN Dingbian & SUN Xiying School of Mathematical Sciences, Suzhou University, Suzhou 215006, China,Laboratory of Mathematics for Nonlinear Sciences, Fudan University, Shanghai 200433, China.Invariant tori for asymptotically linear impact oscillators[J].Science China Mathematics,2006,49(5):669-687. 被引量：5
  • 2张正球,庾建设.一类时滞Dufing型方程的周期解[J].高校应用数学学报（A辑）,1998,13(4):389-392. 被引量：52
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  • 4PENG Shi-guo.Positive Periodic Solutions for Nonautonomous Differential Equations with Delay[J].Chinese Quarterly Journal of Mathematics,2006,21(4):561-566. 被引量：2
  • 5WANG Gen-qiang, CHENG Sui-sun. A priori bounds for periodic solutions of a delay Rayleigh equation [J]. Applied Mathematics and Computation, 1999, 12(3): 41-44.
  • 6LU Shi-ping, GE Wei-gao. Periodic solutions for a kind of Li6nard equation with a deviating argument [J]. J Math Anal Appl, 2004, 289(1) : 231-243.
  • 7WANG Xiao-ming. New results on periodic solutions for a class of Rayleigh type p-Laplacian equations wity deviating arguments [ J ]. Nonlinear Oscillations, 2012, 15(3): 331-336.
  • 8GAINES R E, MAWHIN J L. Coincidence Degree and Nonlinear Differential Equations[M]. Berlin: Springer-Verlag, 1977.
  • 9JIANG Da-qing, WEI Jun-jie. Existence of positive periodic solutions of nonautonomous functional differ?ential equations[J]. Chinese Ann Math A, 1999, 20(6): 715-720.
  • 10CHENG Sui-sun, ZHANG Guang. Existence of positive periodic solutions for nonautonomous functional differential equations[JJ. Election J Differential Equations, 2001, 59: 1-8.

引证文献5

二级引证文献4

Chinese Quarterly Journal of Mathematics
2012年 第2期

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