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时标上一类三阶中立型动力方程的振动准则 被引量：4

Oscillation for Third-order Nonlinear Neutral Delay Dynamic Equations on Time Scales
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摘要 利用广义Riccati代换给出了时标上一类三阶中立型动力方程的振动准则,其结果不仅得到了几个振动解存在的条件,也拓展了一些已有的结论,在最后还给出了几个例子来验证结论. It is the purpose of this paper to give oscillation criteria for third order nonlinearneutral delay dynamic equations.Our results are not only new for third order nonlinear delay dynamic equations but also extend many known results for oscillation of third order equations.And some examples are given.
作者 王俊俊 刘展
机构地区 河南省平顶山学院数学与信息科学学院
出处 《数学的实践与认识》 CSCD 北大核心 2013年第4期265-268,共4页 Mathematics in Practice and Theory
基金 河南省自然科学基金(2010A110001) 平顶山学院高层次人才资助项目(2008002)
关键词 振动性 中立型 广义Riccati变换 动力方程 时标 oscillation neutral generalized Riccati transformation dynamic equations time scales
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献8

  • 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
  • 2王俊俊,黄堃.时标上一类非线性衰减动力方程的振动性[J].河南科学,2012,30(1):21-23. 被引量：5
  • 3王俊俊,严磊.时标上一类三阶非线性动力方程的振动准则[J].山东科学,2012,25(2):17-19. 被引量：6
  • 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.

二级参考文献18

  • 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.
  • 5Bohner M, Peterson A. Dynamic equations on time scales: an introduction with applications rM]. Boston: Birkhauser, MA, 2001.
  • 6Saker S H, Agarwal R P, O'Regan Donal. Oscillation of second-order damped dynamic equations on time scales[J]. J Math Anal Appl, 2007 (330) : 1317-1337.
  • 7Lynn Erbe,Taher S Hassan, Allan Peterson. Oscillation criteria for nonlinear damped dynamic equations on time scales [J] Applied Mathematics and Computation, 2008 (203) : 343-357.
  • 8Taher S Hassan. Oscillations of third order delay dynamic equations on time scales [J]. Math Comput Modelling, 2009 (49) : 1573-1586.
  • 9Saker S H. Oscillation of nonlinear dynamic equations on time scales[J]. Applied Mathematics and Computation, 2004 (148) :81-91.
  • 10Sahiner Y. Oscillation of second-order delay differential equations on time scales [J]. Nonlinear Analysis, 2005,63 (5-7) : 1073-1080.

共引文献8

同被引文献20

  • 1Saker S H. Oscillation of second-order nonlinear neutral delay dynamic equations on time scales. J. Comp. Appl. Math., 2006, 187: 123-141.
  • 2Saker S H. Oscillation criteria of second-order half-linear dynamic equations on time scales. J. Comp. Appl. Math., 2005, 177(2): 375-387.
  • 3Taher S. Hassan. Oscillations of third order delay dynamic equations on time scales. Math. Corn- put. Modelling, 2009, 49: 1573-1586.
  • 4Saker S H, Agarwal R P, O' Regan Donal. Oscillation of Second - Order Damped Dynamic Equations on Time Scales [ J ]. J Math Anal Appl,2007,330 : 1317 - 1337.
  • 5Lynn Erbe,Taher S Hassan, Allan Peterson. Oscillation Criteria for nonlinear damped dynamic equations on time scales [ J ]. Ap- plied Mathematics and Computation,2008,203( 1 ) :343 -357.
  • 6Pang L,Wang K.Function series theory of time scales[J].Computers and Mathematics with Applications,2011,62(9):3427-3437.
  • 7Bohner M,Peterson A.Dynamic Equations on Time Scales:An Introduction with Applications[M].Boston:Birkhuser,2001.
  • 8Cabada A,Vivero D R.Expression of the Lebesgue-integral on time scales as a usual Lebesgue integral:application to the calculus of antiderivatives[J].Math Comput Model,2006,43(1-2):194-207.
  • 9Cabada A,Vivero D R.Criterions for absolute continuity on time scale[J].J Differ Equ Appl,2005,11(11):1013-1028.
  • 10SAKER S H, AGARWAL R P, O' REGAN D. Oscillation of second-order damped dynamic equations on time scales [ J ]. J Math Anal Appl, 2007,330 (2) :1317 -1337.

引证文献4

二级引证文献2

数学的实践与认识
2013年 第4期

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