【摘要】 研究具有可变时滞的非自治中立型差分方程Δ(xn-cxn-k)+h(n,xn-ln)=0,n=0,1,2,…的振动性,得到了这类差分方程振动的必要条件、充分条件和充要条件,同时得到了这类方程的最终正解存在性判据.更多还原

【Abstract】 This paper is concerned with the oscillation of neutral type delay difference equationsΔ(x_n-cx_n-k)+h(n,x_n-ln)=0, n=0,1,2,….By the principle of contraction mapping in Banach space,some criteria of oscillation of these equations are obtained.At the same time,the existence criterion of eventually positive solutions of these equations is presented.更多还原