具强迫项的中立型差分方程的振动性和渐进性(英文)

On oscillation and asymptotic behavior of a neutral delay difference equation with forcing term

使用不等式的某些技巧,获得了如下具强迫项的中立型差分方程Δ(yn+yn-τ)+QnG(yn-σ)=fnn∈N的所有解振动或当n→∞时趋于零的充分条件.还获得了如下的中立型差分方程Δ(yn-yn-τ)+QnG(yn-σ)=0n∈N的所有解振动的充分条件.

Consider the following two neutral difference equationsΔ(yn+yn-τ)+QnG(yn-σ)=fnforn∈NandΔ(yn-yn-τ)+QnG(yn-σ)=0 forn∈N.By using inequality technics, the conditions under which every solution oscillates are obtained. Meantime,the condition under which every solution of the first equation tends to zero as n→∞ also is gotten.