| 非线性二阶阻尼微分方程的振动定理 |
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| 引用本文： | HE Wan-sheng,LI Wan-tong (Department of Mathematics,Tianshui Normal University,Tianshui 741001,China,Department of Mathematics,Lanzhou University,Lanzhou 730000,China). 非线性二阶阻尼微分方程的振动定理[J]. 数学季刊, 2005, 20(1): 1-9 |
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| 作者姓名： | HE Wan-sheng LI Wan-tong (Department of Mathematics Tianshui Normal University Tianshui 741001 China Department of Mathematics Lanzhou University Lanzhou 730000 China) |
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| 作者单位： | Department of Mathematics，Tianshui Normal University，Tianshui 741001，China;Department of Mathematics，Lanzhou University，Lanzhou 730000，China |
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| 基金项目： | Supported by the NNSF of China(10071080) |
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| 摘 要： | Several oscillation criteria are given for the second order nonlinear differential equation with damped term of the form [α(t)(y'(t))σ]' p(t)(y'(t))σ q(t)f(y(t)) = 0, where α∈C(R, (0,∞)), p(t) and q(t) are allowed to change sign on [t0, ∞), and f∈C1 (R, R) such that xf(x) > 0 for x ≠0. Our results improve and extend some known oscillation criteria. Examples are inserted to illustrate our results.
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| 关 键 词： | 共振 二阶非线性偏微分阻尼方程 正商 连续实值函数 |
Oscillation Theorems for Second Order Damped Nonlinear Differential Equations |
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| HE Wan-sheng,LI Wan-tong. Oscillation Theorems for Second Order Damped Nonlinear Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 1-9 |
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| Authors: | HE Wan-sheng LI Wan-tong |
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| Abstract: | |
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| Keywords: | oscillation second order nonlinear differential equation damping |
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