| 具强迫项的中立型差分方程的振动性和渐进性 |
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| 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. |
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| 作者姓名： | 朱立斐 李永昆 刘萍 |
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| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
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| 基金项目： | ThisworkissupportedbytheNationalNaturalSciencesFoundationofPeople’sRepublicofChinaunderGrant( 10 0 610 0 4)
andtheNaturalSciencesFoundationofYunnanProvince . |
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| 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.
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| 关 键 词： | 差分方程 强迫项 振动性 渐进行为 |
On oscillation and asymptotic behavior of a neutral delay difference equation with forcing term |
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| Abstract.On oscillation and asymptotic behavior of a neutral delay difference equation with forcing term[J].Journal of Yunnan University(Natural Sciences),2003,25(1):1-3. |
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| Authors: | Abstract |
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| Institution: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | Consider the following two neutral difference equations△(yn+ yn-τ)+ QnG(yn-σ)=fn for n∈ Nand △(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→o also is gotten. |
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| Keywords: | difference equation forcing term oscillation asymptotic behavior |
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