| 半线性中立型二阶时滞微分方程的振动准则 |
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| 引用本文： | 林丹玲.半线性中立型二阶时滞微分方程的振动准则[J].安徽大学学报(自然科学版),2015(1):15-20. |
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| 作者姓名： | 林丹玲 |
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| 作者单位： | 韩山师范学院 数学与统计学系，广东 潮州，521041 |
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| 摘 要： | 研究广义Emden-Fowler中立型时滞微分方程(r(t)|z′(t)|α-1 z′(t))′+q1(t)|x(σ1(t))|β1-1 x(σ1(t))+q2(t)|x(σ2(t))|β2-1 x(σ2(t))=0,t≥t0,其中z(t)=x(t)+p(t)x(τ(t)),β2αβ10.利用广义Riccati变换、积分平均和不等式技巧,给出了该方程的若干新的振动准则,推广了最近文献中的相关结果.
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| 关 键 词： | 广义 Emden-Fowler 方程 Riccati 变换 振动准则 |
Oscillation criteria for second order half-linear neutral delay differential equations |
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| LIN Dan-ling.Oscillation criteria for second order half-linear neutral delay differential equations[J].Journal of Anhui University(Natural Sciences),2015(1):15-20. |
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| Authors: | LIN Dan-ling |
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| Institution: | LIN Dan-ling;Department of Mathematics and Statistics,Hanshan Normal University; |
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| Abstract: | In the work ,we studied the generalized Emden‐Fowler equation with neutral type delay :(r(t) | z′(t) | α-1 z′(t))′ + q1 (t) | x(σ1 (t)) | β1 -1 x(σ1 (t)) + q2 (t) | x(σ2 (t)) | β2 -1 x(σ2 (t)) = 0 ,t ≥t0 ,where z (t) = x (t) + p (t) x (τ( t)) , β2 > α > β1 > 0 .By using of extended Riccati transformation ,integral averaging and inequality technique ,several new oscillation criteria of the equation were established ,which had extended the results in the recent literature . |
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| Keywords: | generalized Emden-Fowler equation Riccati transformation oscillation criterion |
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