| 一类二阶齐次微分方程解的振动性 |
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| 引用本文： | 段锋. 一类二阶齐次微分方程解的振动性[J]. 湖南文理学院学报(自然科学版), 2008, 20(1): 4-6 |
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| 作者姓名： | 段锋 |
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| 作者单位： | 常德职业技术学院,应用工程系,湖南,常德,415000 |
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| 摘 要： | 对一类二阶齐次非线性微分方程{φ(t)·ψ[x(t'(t)]}' p(t)K[x'(t)] q(t)f[x(t)]=0,(t)>t0≥0) 尝试运用方程解的分类和平方技巧进行了研究, 提出了有关该类微分方程的解的振动性的一个定理.
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| 关 键 词： | 振动 齐次 二阶微分方程 非线性 |
| 文章编号： | 1672-6146(2008)01-0004-03 |
| 修稿时间： | 2007-12-16 |
Oscillatory behavior of solutions of a class of second order nonlinear homogeneous differential equation |
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| DUAN Feng. Oscillatory behavior of solutions of a class of second order nonlinear homogeneous differential equation[J]. Journal of Hunan University of Arts and Science:Natural Science Edition, 2008, 20(1): 4-6 |
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| Authors: | DUAN Feng |
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| Affiliation: | DUAN Feng (Application engineering department,Changde vocational technical college,Changde,Hunan,415000) |
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| Abstract: | By using classification and the averaging technique, the oscillation of a class of the second order nonlinear homogeneous differential equation was discussed.One new sufficient congditions was given for the oscillation. |
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| Keywords: | Oscillation homogeneous Second-order different- ial equation Nonlinear |
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