| 一类二阶中立型差分方程正解的渐近稳定性 |
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| 引用本文： | 孙喜东,刘柏枫,刘晓辉.一类二阶中立型差分方程正解的渐近稳定性[J].数学的实践与认识,2009,39(17). |
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| 作者姓名： | 孙喜东 刘柏枫 刘晓辉 |
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| 作者单位： | 1. 山东工商学院,数学与信息科学学院,山东,烟台,264005
2. 承德民族高等师范专科学校,化学系,河北,承德,067000 |
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| 摘 要： | 研究了下列二阶中立型差分方程Δ2x(n)-px(n-τ)]+q(n)x(g(n))=0,n n0正解渐近趋向于零的充分条件.
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| 关 键 词： | 中立型 差分方程 渐近稳定性 |
Asymptotic Stability of Positive Solutions of Second Order Neutral Differential Equations |
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| SUN Xi-dong,LIU Bai-feng,LIU Xiao-hui.Asymptotic Stability of Positive Solutions of Second Order Neutral Differential Equations[J].Mathematics in Practice and Theory,2009,39(17). |
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| Authors: | SUN Xi-dong LIU Bai-feng LIU Xiao-hui |
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| Abstract: | The aim of this paper is to pfesent sufficient conditions for all psitive solutions of the second order difference equations of the neutral type (1) to be nonoscillatory. Some new sufficient conditions for the convergence to zero of nonoscillatory solutions of (1) are derived also. |
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| Keywords: | diference equation neutral type asymptotic stability |
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