朱立斐, 李永昆, 刘萍. 具强迫项的中立型差分方程的振动性和渐进性[J]. 云南大学学报(自然科学版), 2003, 25(1): 1-3,12.
引用本文: 朱立斐, 李永昆, 刘萍. 具强迫项的中立型差分方程的振动性和渐进性[J]. 云南大学学报(自然科学版), 2003, 25(1): 1-3,12.
shu
ZHU Li-fei, LI Yong-kun, LIU Ping. On oscillation and asymptotic behavior of a neutral delay difference equation with forcing term[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(1): 1-3,12.
Citation: ZHU Li-fei, LI Yong-kun, LIU Ping. On oscillation and asymptotic behavior of a neutral delay difference equation with forcing term[J]. Journal of Yunnan University: Natural Sciences Edition, 2003, 25(1): 1-3,12.
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具强迫项的中立型差分方程的振动性和渐进性

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

    摘要
  • 摘要: 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)=0 n∈N的所有解振动的充分条件.

     

    Abstract: Consider the following two neutral difference equations Δ(yn+yn-τ)+QnG(yn-σ)=fnn∈N for n∈N and Δ(yn-yn-τ)+QnG(yn-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.

     

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