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带强迫项的高阶中立型时滞差分方程的振动定理 被引量:8

Oscillation Theorems of High Order Neutral Delay Difference Equations with Forcing Terms
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摘要 本文研究带有强迫项的高阶中立型时滞差分方程的振动性.我们建立了方程(E)的新的振动准则且给出了说明定理应用的例子. In this paper, we study the oscillation of higher order neutral delay difference equations with forcing terms.Some new criteria for the oscillation of the equations (E) are established. Examples illustrating the results are included.
出处 《应用数学学报》 CSCD 北大核心 2009年第6期1079-1085,共7页 Acta Mathematicae Applicatae Sinica
基金 山东省自然科学基金(Y2008A30)资助项目
关键词 差分方程 强迫项 振动准则 difference equations forcing terms oscillation criterion
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参考文献5

  • 1Agarwal R P. Difference Equations and Inequalities. New York: Marcel Dekker, 1992.
  • 2Agarwal R P, Manuel M S, Thandapani E. Oscillatory and Nonoscillatory Behavior of Second order Neutral Delay Difference Equations. Math. Comput. Modelling, 1996 24(1): 5-11.
  • 3Agarwal R P, Thandapani E, Wong P J Y. Oscillations of Higher order Neutral Difference Equations. Appl. Math. Lett., 1997, 10(1): 71-78.
  • 4Chert M P, Lalli B S, YU J S. Oscillation in Neutral Delay Differencc Equations with Variable Coefficients. Comput. Math. Appal., 1995, 29(3): 5-11.
  • 5Lalli B S, Zhang B G. On Existence of Positive Solutions and Bounded Oscillations for Neutral Difference Equations. J. Math. Anal. Appl., 1992, 166(1): 272-287.

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