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中立型时滞差分方程的振动性与正解存在性 被引量:2

Oscillation and Existence of Positive Solutions in Neutral Delay Difference Equations
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摘要 研究线性中立型时滞差分方程,在允许Pn-1振动情况下,得到保证该方程所有解振动和存在正解的几个新的充分条件,其中不需要文献中通常用到的发散条件. Consider the linear neutral delay difference equations, We have established several new sufficient conditions for the oscillation of all soutions and the existence of a positive solution when Pn1 is allowed to oscillate and the usual divergent condition is not satisfied.
作者 段振华 刘安
出处 《湖南教育学院学报》 2000年第2期4-8,共5页 Journal of Hunan Educational Institute
关键词 振动性 正解 中立型 时滞差分方程 存在性 oscillation positive solution neutral difference equations
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参考文献5

二级参考文献17

  • 1Agarwal R R Difference Equations and Inequalities.New York:Marcel Dekker,1992
  • 2Liu Shutang,Guan Xinping,Yang Jun.Nonexistence of Positive Solution of a Class of Nonlinear Partial Difference Equation.Journal of Mathematical Analysis and Applications,1999,234:361-371
  • 3Agarwal R P,Zhou Yong.Oscillation of Partial Difference Equationswith Continuous Variables.Mathematical and Computer Modelling,2000,31:17-29
  • 4李经文,湖南大学学报,1995年,3卷,28页
  • 5Yu J S,Funk Ekvac,1994年,37卷,241页
  • 6Zhang G,Nonlinear Analysis,1997年,28卷,4期,729页
  • 7Zhang G,Appl Math Lett,1995年,8卷,3期,13页
  • 8Cheng S S,Math Comput Modelling,1995年,22卷,2期,59页
  • 9Yu J S,Funkcial Ekvac,1994年,37卷,241页
  • 10Cheng S S,Math Anal

共引文献23

同被引文献15

  • 1李经文.一阶中立型时滞差分方程振动的充分条件[J].湖南大学学报(自然科学版),1995,22(3):28-31. 被引量:3
  • 2唐先华.一类中立型变系数差分方程振动的充要条件[J].湖南大学学报(自然科学版),1996,23(6):20-26. 被引量:11
  • 3[1]Btsyron R K,Willoughby R A.On the Numerical Integration of a System of Difference Differentical Equation of Neutral Type[J].J Math Anal Appl,1967,(18):182-189.
  • 4[2]Georgiou D A,Grove E A,Ladas G.Oscillation of Neutral Difference Equations[J].Applicable Anal,1982,(33):243-253.
  • 5[3]Lalli B S,Zhang B G.On Existence of Positive Solutions and Bounded Oscillations for Neutral Difference Equations[J].J Math Anal Appl,1992,(166):272-287.
  • 6[4]Lalli B S,Zhang B G,Li J Z.On the Oscillation of solutions and Existence of Positive Solutions of Neutral difference Equations[J].J Math Anal Appl,1991,(158):213-233.
  • 7[5]Yu J S,Wang Z C.Asymptotic Behavior and Oscillation in Neutral Delay Difference equations[J].Funk Ekva,1994,(37):241-248.
  • 8[11]Chen M p,Lalli B S,Yu J S.Oscillation in Neutral Delay Difference Equation with Variable Coefficients[J].Computers Math Applic,1995,29(3):5-11.
  • 9[12]Tang X H,Yu J S.Oscillation of Delay Difference Equation[J].Computers Math Applic,1999,(37):11-20.
  • 10Ladas G Fxplicit condetions for the oscillation of difference equations[J] . Math Anal. 1990, 153:276-287.

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