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时标上一类三阶非线性动力方程的振动准则 被引量：6

Oscillation criteria of third-order nonlinear dynamic equations on a time scale
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摘要 利用Riccati代换给出了时标上一类三阶非线性动力方程的振动准则,并推广了一些已知的三阶动力方程振动性的结果。 We present the oscillation criteria of third-order nonlinear neutral dynamic equations on a time scale T. We also generalize some known oscillation results of third-order equations.
作者 王俊俊 严磊
机构地区 河南省平顶山学院数学与信息科学学院
出处 《山东科学》 CAS 2012年第2期17-19,共3页 Shandong Science
基金 河南省科技发展计划项目(112300410233) 平顶山学院高层次人才资助项目(2008002)
关键词 振动性 中立型 动力方程 时标 oscillation neutralization dynamic equation time scale
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献5

  • 1王军华,王俊俊.时标上一类三阶中立型动力方程的振动性[J].郑州大学学报（工学版）,2010,31(4):121-123. 被引量：9
  • 2SAKER S H. Oscillation criteria of second-order half-linear dynamic equations on time scales[J].Journal of Computational and Applied Mathematics,2005,(02):375-387.doi:10.1016/j.cam.2004.09.028.
  • 3HASSAN T S. Oscillations of third order delay dynamic equations on time scales[J].Methematical and Computer Modelling,2009,(7 -8):1573-1586.
  • 4SAKER S H,AGARWAL R P,O'REGAN D. Oscillation of second-order damped dynamic equations on time scales[J].Journal of Mathematical Analysis and Applications,2007,(02):1317-1337.doi:10.1016/j.jmaa.2006.06.103.
  • 5CHEN D. Oscillations and asymptotic behavior for nth-order nonlinear neutral delay dynamic equations on time scales[J].Acta Applicandae Mathematicae,2008,(03):703-719.

二级参考文献4

  • 1BOHNER M, PETERSON A. Dynamic Equations on Time Scales: An Introduction with Applications. Boston : BirkhS \ddot |a| user, MA ,2001.
  • 2Saker S H. Oscillation of second-order nonlinear neutral delay dynamic equations on time scales [ J ]. Comp. Appl. Math.,2006,187(2):123-141.
  • 3Saker S H, Oscillation criteria of second - order half - linear dynamic equations on timescales [ J ]. Comp. Appl. Math.,2005,177(2): 375 -387.
  • 4TAHER S. Hassan oscillations of third order delay dynamic equations on time scales [ J ]. Math. Comput. Modelling,2009, (49) : 1573 - 1586.

共引文献8

同被引文献27

  • 1Hassan T S.Oscillations of third order delay dynamic equations on time scales,math[J].Comput Modelling,2009(49):1573-1586.
  • 2Saker S H,Agarwal R P,O'Regan D,Oscillation of second-order damped dynamic equations on time scales[J].MathematicalAnalysis And Applications,2007(330):1317-1337.
  • 3Chen D X.Oscillations and asymptotic behavior for nth-order nonlinear neutral delay dynamic equations on time scales[J].ActaAppl Math,2008,109(3)7:03-719.
  • 4Saker S H. Oscillation criteria of second-order half-linear dynamic equations on time scales[J]. J Comp Appl Math, 2005, 177(2): 375-387.
  • 5Hassan T S. Oscillations of third order delay dynamic equations on time scales[J]. Math Comput Modelling, 2009, 49(7-8): 1573-1586.
  • 6Saker S H, Agarwal R P. O'Regan D. Oscillation of second-order damped dynamic equations on time scales[J]. Mathematical Analysis And Applications, 2007, 330(2): 1317-1337.
  • 7Chen D X. Oscillations and asymptotic behavior for nth-order nonlinear neutral delay dynamic equations on time scales[J]. Acta Appl Math, 2010, i09(3): 703-719.
  • 8Saker S H. Oscillation of second-order nonlinear neutral delay dynamic equations on time scales[J]. J Comp Appl Math, 2006, 187(2): 123-141.
  • 9S H Saker, R P Agarwal.Donal O'Regan.Oscillation of Second-Order Damped Dynamic Equations on Time Scales[J].J.Math.Anal. Appl., 2007 (330):1317-1337.
  • 10Lynn Erbe,Taher S Hassan.Allan Peterson,Oscillation Criteria for nonlinear damped dynamic equations on time scales[J].Applied Mathematics and Computation, 2008:343-357.

引证文献6

二级引证文献6

山东科学
2012年 第2期

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