摘要
针对强迫项正负系数中立型差分方程Δ(xn-γnxn -r) +Pnxn -τ-qnxn -σ=cn n≥n0 (1)的振动性 ,给出了该方程在条件n≥n0 时 ,An =γn + n - 1i=n -τ +σqi≥ 1下方程 (1)振动的充分条件。其中cn∈R γn,Pn,qn∈ (0 , ∞ ) r,τ ,σ∈ { 1,2 ,… }τ>σ。
In many references,the oscillation of Eq.(1) Δ(x n-γ nx n-r )+P nx n-τ -q nx n-σ =c n n≥n 0(1) has discussed considered.In this paper,the sufficient condition to oscillate for all solution of Eq.(1) are studied in condition of A n=γ n+n-1i=n-τ-σq i≥1 where c n∈R,γ n,P n,q n∈(0,+∞),r,τ,σ∈{1,2,……}τ>σ.
关键词
振动性
强迫项
中立型差分方程
oscillation
forced term
neutral difference equation
