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一类二阶非线性差分方程的振动性 被引量:4

Oscillation for a Kind of Second-order Nonlinear Difference Equation
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摘要 本文获得了一类二阶非线性差分方程所有解振动的一些新的充分条件,所得结果包含并推广了已 有文献中的相关结论。 We obtain some new su?cient conditions for the oscillation of all solutions of a second-order nonlinear di?erence equation. Our results generalize and improve some known results of second-order nonlinear di?erence equation.
作者 严秀坤
出处 《工程数学学报》 CSCD 北大核心 2005年第1期95-100,共6页 Chinese Journal of Engineering Mathematics
关键词 振动 二阶 非线性差分方程 oscillation second-order nonlinear difference equation
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参考文献7

  • 1刘开宇,罗交晚.一类非线性差分方程的振动性[J].数学杂志,1999,19(3):309-312. 被引量:4
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二级参考文献2

  • 1Wong J Y,Math Comput Modelling,1996年,24卷,9期,21页
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共引文献3

同被引文献9

  • 1何延生,俞元洪.二阶非线性差分方程的振动定理[J].Journal of Mathematical Research and Exposition,2004,24(4):740-744. 被引量:11
  • 2[2]Lakshmikantham V,Trigiante D.Theory of difference equations:numerical mathods and applications.Academic Press Inc,1988
  • 3范叶华,李玉梅,王幼斌.二队非线性差分方程解的振动准则[J].科学技术与工程,2007,7(18):4567-4569. 被引量:1
  • 4ZHANG B G,CHEN G D.Oscillation of certain second-order Nonlinear difference equation[J].Math.Anal.Appl.,1996,199:827-841.
  • 5GRACE S R,ABADEER A A,EL-MORSHEDY H A.On the Oscillation of certain second order difference equation[J].Comm.Appl.Anal.,1998(2):447-456.
  • 6LI W T.Oscillation of certain second-order nonlinear differential equations[J].Math.Anal.Appl.,1998,217:1-14.
  • 7AGARWAL R P.Difference Equations and Inequalities[M].New York:Dekker,1998.
  • 8Sahiner Y.On oscillation of second order neutral type delay differential equations[J].Appl.Math.Comput,2004,150(3):697-706.
  • 9刘开宇,罗交晚.一类非线性差分方程的振动性[J].数学杂志,1999,19(3):309-312. 被引量:4

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