期刊论文

中文

湖南农业大学学报(自然科学版)

1007-1032

2001

27

1

76-78

10.3321/j.issn:1007-1032.2001.01.023

本校为其他机构

考虑具有正负系数的中立型时滞差分方程△2[x(n)+px(n-τ)]+R1(n)x(n-σ1)-R2(n)x(n-σ2)=0,n=1,2,…,这里p∈R;τ∈{1,2,…},σ1,σ2∈{0,1,2,…};{R1(n)}R2(n)}是正实数序列.获得了上述方程在条件∑nRi(n)＜∞,(i=1,2)之下一个非振动解的存在性的一些充分条件.

Consider the neutral delay difference equation with positive and negative coefficients Δ 2[x(n)+px(n-τ)]+R 1(n)x(n-σ 1)-R 2(n)x(n-σ 2)=0,n=1,2,… where p∈R and τ∈{1,2,…};σ 1,σ 2∈{0,1,2, …};{R 1(n)},{R 2(n)} are positive real sequence. Some sufficient conditions for the existence of the nonoscillatory solution of the above equation are set forward in terms...