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一阶中立型时滞微分方程新的振动性判断 被引量:2

The New Sufficient Conditions for the Oscillation of First-Order Neutral Delay Differential Equation
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摘要 考虑一阶中立型时滞微分方程ddt[y(t)+p(t)y(t-τ)]+Q(t)y(t-σ)=0这里p∈C([t0,∞],R),Q∈C([t0,∞],R+),τ,σ∈R+文章运用先前的结论得到上面方程所有解振动的充分条件,这些条件改进和推进了已有的结果. Concider the first-order neutral delay differertial equation d/dt[y(t)+p(t)y(t-τ)]+Q(t)y(t-σ)=0 where p∈C([t0,∞],R),Q∈C([t0,∞],R^+),τ,σ∈R^+ There establishs sufficient conditions,which improve some old conclusions,for the oscillation of all solutions of the first-order NDDE(1) using the techniques of the Other old conclusions.
作者 石艳香
出处 《太原师范学院学报(自然科学版)》 2006年第2期11-13,共3页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 中立型时滞微分方程 振动性 最终正解 neutral delay differential equation oscillation eventually positive solution
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参考文献5

  • 1[1]Chuanxi Q,Ladas G.Oscillations of neutral differential equations with variable coetticients[J].Appl Anal,1989,(32):215-228
  • 2[2]Grammatikopoulos M K,Grove E A and Ladas G.Oscillation of first-order neutral delay differential equations[J].J Math Anal Appl,1986,(120):510-520
  • 3[3]Georgiou D A,Qian C.Oscillation criteria in neutral equations of n-order with variable coefficients[J].Int J Math Math Sci,1991,(14):689-696
  • 4[4]Chen M P,Yu J S,Huang L H.Oscillation of first order neutral differential equations with variable coefficients[J].J Math Anal Appl,1994,(185):288-301
  • 5[5]Yu J,Wang Z,Qian C.Oscillation of neutral delay differertial equations[J].Bull Asustral Math Soc,1992,(45):195-200

同被引文献8

  • 1王志斌.一阶中立型时滞微分方程的振动性[J].工程数学学报,2005,22(2):261-267. 被引量:5
  • 2Chuanxi Q, LadasG. Oscillations of neutral differential equations with variable coetticients[ J]. Appl Anal, 1989,32:215-228.
  • 3Grammatikopoulos M K, Grove E A and Ladas G. Oscillation of first-order neutral delay differential equations [J]. J Math Anal Appl, 1986, (120) :510-520.
  • 4Georgiou D A, Qian C. Oscillation criteria in neutral equations of n-order with variable coefllcients[J]. Int J Math Math Sci,1991, (14) :689-696.
  • 5Chen M P, Yu J S, Huang I, H. Oscillation of first order neutral differential equations with variable coefficients[J]. J Math Anal Appl, 1994, (185) : 288-301.
  • 6Yu J, Wang Z, Qian C. Oscillation of neutral delay differertial equations[ J ]. Bull Asustral Math Soc, 1992, (45) : 195-200.
  • 7Chuangxi Q,Ladas G.Oscillations of neutral differential equations with variable coefficients[J].Appl Anal,1989,(32):215-228.
  • 8谈小球,刘玉记.中立型差分方程的振动性[J].黑龙江大学自然科学学报,2000,17(2):26-30. 被引量:1

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