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具连续分布滞量的二阶半线性阻尼微分方程的振动准则 被引量：1

Oscillation criteria of a second order half-linear damped differential equation with distributed deviating argument
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摘要 通过研究一类具连续分布滞量的二阶半线性阻尼微分方程的振动性。利用函数不等式技巧、广义Riccati变换和H(t)函数等方法,给出此类方程所有解的新振动准则,所得结果推广和改进了文献的结果。 Here, Oscillation of a class of half-linear damped differential equations with distributed deviating argument was studied. By means of the function inequality technique, the generalized Riccati transformation and the function H （t） , several new oscillation criteria were obtained for all solutions to the equation. The results entended and improved some known ones in literatures.
作者 曾云辉 罗李平 罗振国
机构地区 衡阳师范学院数学与计算科学系
出处 《振动与冲击》 EI CSCD 北大核心 2013年第8期1-4,12,共5页 Journal of Vibration and Shock
基金 湖南省十二五重点建设学科基金资助项目(湘教发[2011]76号) 2012年湖南省教育厅基金项目资助(12C0541) 衡阳师范学院青年骨干教师培养对象资助项目(2012)
关键词 连续分布滞量 阻尼项 半线性微分方程 振动性 distributed deviating argument damped term half-linear differential equation oscillation
分类号 O175.27 [理学—基础数学]
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参考文献9

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同被引文献34

  • 1杨甲山.时间测度链上具非线性中立项的二阶阻尼动力方程的振动性[J].浙江大学学报（理学版）,2012,39(3):261-265. 被引量：13
  • 2潘元元,韩振来.时标上二阶中立型时滞动力方程的振动性[J].济南大学学报（自然科学版）,2012,26(2):191-194. 被引量：5
  • 3RAVI P,AGARWAL R P,BOHNER M,et al.Non- oscillation and Oscillation:Theory for Functional Dif- ferential Equations[M].New York:Marcel Dekker,2004.
  • 4BOHNER M,PETERSON A.Dynamic Equations on Time Scales,An Introduction with Applications[M].Boston:Birkhauser,2001.
  • 5AGARWAL R P,BOHNER M,GRACE S R,et al.Discrete Oscillation Theory[M].New York:Hindawi Publishing Corporation,2005.
  • 6ZHANG Q X,GAO L.Oscillation criteria for second- order half-linear delay dynamic equations with damping on time scales[J].Sci Sin Math,2010,40(7):673-682.
  • 7SAHINER Y.Oscillation of second order delay differ- ential equations on time scales[J].Nonlinear Analysis:Theory,Methods & Applications,2005,63:1073-1080.
  • 8HAN Z L,BAO S,SUN S R.Oscillation of second- order delay dynamic equations on time scales[J].Jour- nal of Applied Mathematics & Computing,2009,30(1):459-468.
  • 9SUN S,HAN Z,ZHANG C.Oscillation of second order delay dynamic equations on time scales[J].J Ap- pl Math Comput,2009,30:459-468.
  • 10GRACE S R,AGARWAL R P,KAYMAKCALAN B,et al.Oscillation theorems for second order nonlinear dy- namic equations[J].J Appl Math Comput, 2010,32:205-218.

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二级引证文献8

振动与冲击
2013年 第8期

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