期刊文献+

时间尺度上二阶时滞动力方程的振动性

Oscillation of Secand-order Nonlinear Delay Dynamic Equation On Time Scales
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摘要 利用时间尺度的相关理论及Riccata变换技巧,研究了一类时间尺度上二阶非线性时滞动力方程解的振动性.给出了该类方程在时间尺度上振动的几个充分条件.推广和改进了已有文献的相关结果. By theory of time scales and Riccata transfomation ,some sufficient for oscillation of secand-order nonlinear delay dynamic equation on time scales are established ,The results in this paper improve some known results.
作者 刘一龙
出处 《邵阳学院学报(自然科学版)》 2011年第4期5-8,共4页 Journal of Shaoyang University:Natural Science Edition
基金 国家自然科学基金(11071066) 湖南省教育厅科研基金资助项目(10C1188)
关键词 时间尺度 时滞动力方程 振动性 time scales delay dynamic equation oscillation
  • 相关文献

参考文献13

  • 1Hilger s. Analysis On Measure Chainsa Unified Approach To Continuons and Discrete Calclus [J].Result Math. 1990,18:18-56.
  • 2Bohner.M, Peterson A. Dynamic Equations On Time scale An Introduction With Applications [M]. Boston,Birkhauser 2001.
  • 3Agarwal R P , Bphner M,O'regan D, et al . Peterson. Dynamic Equtions On Time Scale :A survey [J] . J comput Apple Matn ,2002,14:1-26.
  • 4Erbel, petereson P , saker S H. Oscillation Criteria Secondorder Nonlinear Delay Dynamic Equations [J]. J Math Anal Appl.2007, 333(1): 505-522.
  • 5Saker S H .Oscillation Of Nonlinear Dynanfic Equations On Time Scales[J]. Appl Matn Coput .2004,148(1):81-91.
  • 6Bohnerm. Saker S H .Oscillation Of Secondorder Nonlinear Dunamic Equation On Time Scales [J]. Rocky Mountain J Math ,2004, 34(4):1239-1254.
  • 7Medico.A.Knog Q. New Kamenev type OsciUation Criteria For Second order Differenrtinal Equation On a Measure Chain [J]. computers Math Applic 2005,50 1211-1230.
  • 8Sahner,Y.Oscillation of Second order Delay Differential Equations On Time Scales [J] .Nonlinear Analysis, TMA, 2005,63:1073-1080.
  • 9A Garwal R P ,Bohner M, Saker S H . Oseillation of Secondorder Delay Dynamic Wquations [J]. Canadian App lied Mathematics Quarterly,2005, 13(1):1-18.
  • 10Zhang B G,Zhu Shanliang .Oscillation of Secondorder Nonlinear Delay Dynamic Equations On Time Tcales [J]. Computers Math Appl,2005,49:599-609.

二级参考文献26

  • 1Hilger s. Analysis On Measure Chainsa Unified Approach To Continuons and Discrete Calclus [J].Result Math .1990; 18;18-56.
  • 2Bohner.M; Peterson A. Dynamic Equations On Time scale. An Introducrion With Applications [M]. Boston; Birkhauser, 2001.
  • 3Agarwal R P; Bphner M.O'regan D.et al . Peterson. Dynamic Equtions On Time Scale :A sutvey [J] . J comput Apple Mare ,2002.14:1-26,.
  • 4Erbel, petereson P , saker S H. Oscillation Criteria Secondorder Nonlinear Delay Dynamic Equations [J].J Math Anal Appl. 2007, 333(1) 505-522.
  • 5Saker S H .Oscillation Of Nonlinear Dynamic Equations On Time Scales[J]. Appl Matn Coput .2004,148(1):81-91.
  • 6Bohnerm. Saker S H .Oscillation Of Secondorder Nonlinear Dunamic Equation On Time Scales [J]. Rocky Mountain J Math ,2004 34(4):1239-1254.
  • 7Medico.A.Knog Q. New Kamenev-Wpe Oscillation Criteria For Second-order Differenrtinal Equation On a Measure Chain [J], computers Math Applic 2005,50.1211-1230.
  • 8Sahner,Y.Oscillation of Second-order Delay Differential Equations On Time Scales [J]. Nonlinear Analysis, TMA , 2005,63 :e1073-e1080.
  • 9A Garwal R P ,Bohner M, Saker S H . Oseillation of Secondorder Delay Dynamic Wquations [J]. Canadian App lied Mathematics Quarterly,2005, 13(1):1-18.
  • 10Zhang B G,Zhu Shanliang .Oscillation of Secondorder Nonlinear Delay Dynamic Equations On Time Tcales [J]. Computers Math Appl,2005,49:599-609.

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