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具连续变量差分方程的比较定理及强迫振动
引用本文:董雨滋.具连续变量差分方程的比较定理及强迫振动[J].系统科学与数学,1999,19(4):426-433.
作者姓名:董雨滋
作者单位:山西财经大学基础部!太原030006(董雨滋,张玉珠),山西大学数学系!太原030006(燕居让)
摘    要:本文首先给出了具连续变量常系数线性差分方程存在正解的充要条件,然后利用它得出了带阻尼项的变系数差分方程振动的充分条件.

关 键 词:差分方程  最终正解  振动

COMPARISON RZSULT AND FORCED OSCILLATION FOR DIFFERENCE EQUATIONS WITH CONTINUOUS ARCUMENTS
Dong Yuzi,Zhang Yuzhu.COMPARISON RZSULT AND FORCED OSCILLATION FOR DIFFERENCE EQUATIONS WITH CONTINUOUS ARCUMENTS[J].Journal of Systems Science and Mathematical Sciences,1999,19(4):426-433.
Authors:Dong Yuzi  Zhang Yuzhu
Institution:(1)Shanxi Finance and Economics University, Taiyuan 030006,P.R.China(2)Department Of Mathematics, Shanxi University, Taiyuan 030006,P.R.China
Abstract:in this paper the necessary and sufficient condition for the existence of positivesolutions of linear difference equations with continuous arguments and constant coefficients isestablished. As an application, some sufficient conditions for oscillation of linear differenceequations with variable coefficients and forced term are obtained.
Keywords:Difference equation  eventually positive solution  oscillation  
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