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一类n阶非线性中立型微分方程的振动性判定准则 被引量：2

Oscillation Criteria for n Order Nonlinear Neutral Differential Equations
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摘要 给出了n阶非线性中立型微分方程m[x(t)+p(t)x(τ(t))](n)+sum (qi(t)fi(x(σi(t)))) from i=1 to m=0,t≥t0的振动性的一些充分条件,其中n≥2为偶数.结果完善和推广了Grammatikopoulos et al.Meimaridou A,Rat Mat(1985),Grace and Lalli(1987),Ruan(1993),Li H J(1997),Xuand Xia(2008),Han and Li(2010). In this paper,some sufficient conditions are established for n order nonlinear neutral differential equations [x（t）＋p（t）x（τ（t））]（n）＋sum （qi（t）fi（x（σi（t）））） from i=1 to m=0,t≥ t0,where n≥2 is an even integer.The results complement and improve those of Grammatikopoulos et al.（1985）,Grace and Lalli（1987）,Ruan（1993）,Li H J（1997）,Xu and Xia（2008）,Han Z,ex al（2010）.
作者 张倩 徐润 秦海勇
机构地区 曲阜师范大学数学科学学院
出处 《曲阜师范大学学报（自然科学版）》 CAS 2012年第2期17-22,共6页 Journal of Qufu Normal University(Natural Science)
基金 国家自然科学基金(11171178) 山东省自然科学基金(ZR2009AM011 ZR2009AL015)
关键词 N阶微分方程 振动性判定准则 中立型 oscillation criteria n order differential equations neutral
分类号 O175.1 [理学—基础数学]
  • 相关文献

参考文献22

  • 1Ruan S. Oscillation of second order neutral delay differential equations[J].Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques,1993.485-496.
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二级参考文献8

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共引文献1

同被引文献19

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  • 10Tiryaki A , Aktas M F. Oscillation criteria of a certain class of third order nonlinear delay differential equations with damping [ J]. J Math Anal Appl, 2007, 325 : 54-68.

引证文献2

二级引证文献8

曲阜师范大学学报（自然科学版）
2012年 第2期

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