期刊文献+

一类中立型泛函微分方程的振动性

Oscillation of a class of neutral functional differential equations
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摘要 通过对一类中立型泛函微分方程的振动性的研究,利用积分、下极限和函数代换的技巧与方法,获得了该方程解的振动性的一个新的准则,该准则改善了对方程的条件限制。推广了现有文献[1~3]的一些结果。 Through studying the oscillation of a class of neutral functional differential equations and using the methods and techniques of integration and inferior limit and functional substitution, a new sufficient criteria has been obtained for the oscillation of the equations' solutions. This criteria can improve the restriction of the conditions for the equations. Some results of references[1-3] have thus been extended.
作者 黄辉 唐清干
出处 《桂林电子科技大学学报》 2007年第1期71-73,共3页 Journal of Guilin University of Electronic Technology
关键词 中立型泛函微分方程 振动 最终正解 neutral functional differential equation oscillation eventual positive solution
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参考文献7

  • 1CHEN S,HUANNG Q. On a conjecture of Hunt and Yorke[J].Journal of Mathematical Analysis and Applications, 1991,159:469-484.
  • 2SUN J, WANG J. On a conjecture of Chen and Huang[J].Journal of Mathematical Analysis and Applications, 1997,207 :61-72.
  • 3ZHOU Y. Oscillation of neutral functional differential equations[J]. Acta Math Hungar,2000,86(3) :205-212.
  • 4GYORI L. On the oscillatory behaviour of certain nonlinear and linear delay differential equations[J]. Nonlinear Anal, 1984,8 :429-439.
  • 5BAINOV D D, MISEV D P. Oscillation theory for neutral differential equations with delay[M]. Bristol: Adam Hilger,1991.
  • 6GOPALSAMY K. Stability and oscillation in delay differential equations of population dynamics [M ]. Dordrecht: kluwer Academic Publishers, 1992.
  • 7ERBE L H, KONG Q K, ZHANG B G. Oscillation theory for functional differential equations [M]. New York: Marcel Dekker, 1995.

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