| 二阶非线性带阻尼项中立型微分方程的振动准则 |
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| 引用本文： | 陈目.二阶非线性带阻尼项中立型微分方程的振动准则[J].广东教育学院学报,2006,26(5):34-39. |
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| 作者姓名： | 陈目 |
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| 作者单位： | 湛江教育学院数学系 广东湛江524037 |
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| 摘 要： | 通过利用平均积分法和黎卡提变换,对一类二阶非线性带阻尼项中立型微分方程r(t)(x(t) a(t)x(t-τ))′]′ p(t)x′(t) q(t)f(x(t-δ))=0,其中τ,δ是正常数,r,p,q,a∈C(t0,∞),R),f∈C(R,R)作进一步的讨论,所得的结果推广了已知的结论,应用更加广泛.
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| 关 键 词： | 中立型微分方程 振动 阻尼项 |
| 文章编号： | 1007-8754(2006)05-0034-06 |
| 收稿时间： | 06 20 2006 12:00AM |
| 修稿时间： | 2006年6月20日 |
The Oscillation Criteria for Second-order Nonlinear Neutral Differential Equations with Damping |
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| CHEN Mu.The Oscillation Criteria for Second-order Nonlinear Neutral Differential Equations with Damping[J].Journal of Guangdong Education Institute,2006,26(5):34-39. |
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| Authors: | CHEN Mu |
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| Institution: | Dept. of Math. , Zhanjiang Education college, Zhanjiang, Guangdong, 524037, P. R. China |
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| Abstract: | By using averaging integral techniques and generalized Riccati transformation,we obtain new oscillation criterions for every solution of the second-order nonlinear neutral differential equations with damping to be oscillatory.These results extend the known conclusion,which provides wider application. |
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| Keywords: | Neutral differential equations oscillation damping term |
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