| 二阶非线性带有阻尼项微分方程的一个振荡定理 |
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| 引用本文： | 商妮娜,秦惠增. 二阶非线性带有阻尼项微分方程的一个振荡定理[J]. 应用数学学报, 2012, 35(1): 120-129 |
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| 作者姓名： | 商妮娜 秦惠增 |
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| 作者单位： | 山东理工大学理学院,淄博,255049 |
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| 基金项目： | 国家自然科学基金(10771166)资助项目 |
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| 摘 要： | 在这篇文章中,利用Riccati变换和积分不等式,对非线性带有阻尼项微分方程,我们给出了—个新的振荡解的判别准则.特别是我们给出的判别准则是比较宽的.
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| 关 键 词： | 非线性微分方程 阻尼项 振荡准则 Riccati变换 |
Oscillation Theorem for Nolinear Second Order Differential Equations with Damping |
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| SHANG NINA , QIN HUIZENG. Oscillation Theorem for Nolinear Second Order Differential Equations with Damping[J]. Acta Mathematicae Applicatae Sinica, 2012, 35(1): 120-129 |
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| Authors: | SHANG NINA QIN HUIZENG |
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| Affiliation: | SHANG NINA QIN HUIZENG (Institute of Applied Mathematics,Shandong University of Technology,Zibo 255049) |
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| Abstract: | This paper concerns the oscillation criteria for the nonlinear differential equation with damping term.By using Riccati transformation and integral inequality,we give a new wide oscillation criteria.In particular,we give a criterion conditionis relatively wide. |
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| Keywords: | nonlinear differential equations damping oscillation criteria Riccati’s transformation |
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