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带有极大值项的中立型差分方程的渐近性

Some Asymptotical Properties of Neutral DifferenceEquations with Maxima"
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摘要 　考虑一类带有极大值项的中立型差分方程,得到了方程非振动解渐近性的若干结果,即方程的所|xn|=∞的充分条件,推广了已有文献中的相关结果. Consider a class of neutral difference equation with !maxima', some results for the asymptotical properties of all non-oscillatory solutions of the equation are obtained, that is, sufficient conditions for all non-oscillatory solutions {x-n} satisfying {lim}n→∞ x-n=0 or {lim}n→∞｜x-n｜=∞ are obtained, which extend the corresponding results of the references.
作者 梁赛良 范彩霞
机构地区 山西省财政税务专科学校基础部 山西煤炭职业技术学院基础部
出处 《华北工学院学报》 2004年第6期423-425,共3页 Journal of North China Institute of Technology
关键词 中立型差分方程 渐近性 极大值 非振动解 充分条件 推广 文献 difference equations maxima non-oscillatory solution asymptotical property
分类号 O175 [理学—基础数学] O241 [理学—计算数学]
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二级参考文献16

  • 1[1]Bainov D, Petrov V, Proytcheva V. Oscillatory and Asymptotic Behavior of Second Order Neutral Differential Equations with "Maxima". Dynamic Systems and Applications, 1995, 4:137-146
  • 2[2]Bainov D, Petrov V, Proytcheva V. Existence and Asymptotic Behavior of Nonoscillatory Solutions of Second Order Neutreal Differential Equations with "Maxima". Journal of Computational and Applied Mathematics, 1997, 83:237-249
  • 3[3]Bainov D, Petrov V, Proytcheva V. Oscillation and Nonoscillation of First Order Neutral Differential Equations with "Maxima". SUT Journal of Mathematics, 1995, 31:17-28
  • 4[4]Petrov V. Nonoscillatory Solutions of Neutral Differential Equations with "Maxima". Communications in Applied Analysis, 1998, 2:129-142
  • 5[1]Kocic V L, Ladas G. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications [M].Mathematics and Applications,Vol. 256,Kluwer Academic Publishers, 1993.
  • 6[2]Zhang G,Cheng S S. Oscillation criteria for a neutral difference equation with delay[J]. Appl. Math. Lett. , 1995,8(3): 13-17.
  • 7[3]Cheng S S,Zhang G. Nonexistence criteria for positive solutions of a nonlinear recurrence relation[J]. Comput. Modelling,1995,22(2):59-66.
  • 8[4]Zhang G,Cheng S S. Positive solutions of a nonlinear neutral difference equation[J]. Nonlinear Anal. -TMA,1997,28(4):729-738.
  • 9[5]Georgiou D A ,Grove E A, Ladas G. Oscillations of neutral difference equations [J]. Applicable Analysis, 1989,33: 243-253.
  • 10[6]Li W T. Oscillation criteria for first order neutral nonlinear difference equations with variable coefficients[J]. Appl. Math.Lett. ,1997,10(6) :101-106.

共引文献17

华北工学院学报
2004年 第6期

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