| 时标上二阶中立型差分方程的振动准则 |
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| 引用本文： | 叶陆红. 时标上二阶中立型差分方程的振动准则[J]. 安庆师范学院学报(自然科学版), 2010, 16(3): 1-3. DOI: 10.3969/j.issn.1007-4260.2010.03.001 |
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| 作者姓名： | 叶陆红 |
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| 作者单位： | 安庆师范学院,数学与计算科学学院,安徽,安庆,246133 |
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| 摘 要： | 通过里卡蒂变换,对二阶时滞差分方程(r(t)ψ(x(t))|Z△(t)|γ-1Z△(t))△+q(t)f(x(τ(t)))=0建立了在时标T上的振动准则,其中γ≥1是一个正奇数,Z(t)=x(t)+p(t)x(δ(t)),r(t),p(t)和q(t)是T上右稠连续函数。
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| 关 键 词： | 振动 二阶中立型时滞差分方程 时标 |
Oscillation Criteria for Second-order Neutral Delay Dynamic Equations on Time Scales |
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| YE Lu-hong. Oscillation Criteria for Second-order Neutral Delay Dynamic Equations on Time Scales[J]. Journal of Anqing Teachers College(Natural Science Edition), 2010, 16(3): 1-3. DOI: 10.3969/j.issn.1007-4260.2010.03.001 |
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| Authors: | YE Lu-hong |
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| Affiliation: | YE Lu-hong(School Mathematics , Computational Science,Anqing Teachers College,Anqing 246133,China) |
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| Abstract: | By means of Riccati transformation technique,we establish some new oscillation criteria for the second-order neutral delay dynamic equations(r(t)ψ(x(t))|Z△(t)|γ-1Z△(t))△+q(t)f(x(τ(t)))=0 on a time scale T,where γ≥1 is an odd positive integer and Z(t)=x(t)+p(t)x(δ(t)),r(t),p(t) and q(t) are right-continuous functions defined on T. |
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| Keywords: | oscillation second-order neutral delay dynamic equations time scales |
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