| 非线性二阶阻尼微分方程的区间振动准则 |
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| 引用本文： | 林丹玲,俞元洪. 非线性二阶阻尼微分方程的区间振动准则[J]. 西南大学学报(自然科学版), 2012, 34(3): 023-027 |
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| 作者姓名： | 林丹玲 俞元洪 |
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| 作者单位： | 韩山师范学院数学与信息技术系;中国科学院数学与系统科学研究院 |
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| 基金项目： | 广东省自然科学基金资助项目(9151008002000012) |
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| 摘 要： | 给出非线性二阶阻尼微分方程新的振动准则,它们仅依赖于区间[t0,∞)的某些子区间序列的信息,不需要依赖于整个半直线,所得结果推广和改进了某些最近的结果.
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| 关 键 词： | 广义Riccati变换 积分平均技巧 区间振动准则 |
Interval Oscillation Criterion for Nonlinear Second-Order Damped Differential Equations |
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| LIN Dan-ling,YU Yuan-hong. Interval Oscillation Criterion for Nonlinear Second-Order Damped Differential Equations[J]. Journal of southwest university (Natural science edition), 2012, 34(3): 023-027 |
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| Authors: | LIN Dan-ling YU Yuan-hong |
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| Affiliation: | 1.Department of Mathematics and Information Technology,Hanshan Normal University,Chaozhou Guangdong 521041,China;2.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China |
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| Abstract: | In this paper,some new oscillation criteria are presented for certain classes of second-order nonlinear differential equations that are different from most known ones in the sense that they are based on the information only on a sequence of sub-intervals of [t0,∞),rather than on the whole half-line.The results extend and improve some recent results. |
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| Keywords: | generalized Riccati transformation integral averaging technique interval oscillation criterion |
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