| 一类带强迫项的二阶阻尼微分方程的区间振动性 |
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| 引用本文： | 林文贤. 一类带强迫项的二阶阻尼微分方程的区间振动性[J]. 郑州大学学报(自然科学版), 2014, 0(2): 1-5 |
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| 作者姓名： | 林文贤 |
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| 作者单位： | 韩山师范学院数学与统计学系,广东潮州521041 |
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| 基金项目： | 广东省自然科学基金资助项目,编号S2013010013372. |
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| 摘 要： | 研究了一类带强迫项的非线性二阶阻尼泛函微分方程,利用Riccati变换和完全平方技术,得到了该方程的区间振动准则,所得结果推广和包含了已有文献的研究结果,并给出2个应用实例.
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| 关 键 词： | 阻尼 强迫项 区间振动性 分布偏差变元 |
Interval Oscillation for Certain Second Order Damped Differential Equations with Force Term |
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| LIN Wen-xian. Interval Oscillation for Certain Second Order Damped Differential Equations with Force Term[J]. Journal of Zhengzhou University (Natural Science), 2014, 0(2): 1-5 |
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| Authors: | LIN Wen-xian |
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| Affiliation: | LIN Wen-xian( 1.Department of Mathematics and Statistics,Hanshan Normal University,Chaozhou 521041,China) |
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| Abstract: | Sufficient conditions for the interval oscillation of all solutions of the nonlinear second order damped functional differential equations with force term were obtained,by using Riccati transformation and integrality technique.Some known results were generalized and improved.The main results were illustrated by two examples. |
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| Keywords: | damped force term interval oscillation distributed deviating argument |
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