| 里卡蒂方法研究带泛函参数的非线性脉冲时滞双曲方程的振动性 |
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| 引用本文： | 邹敏,陈荣三,刘安平.里卡蒂方法研究带泛函参数的非线性脉冲时滞双曲方程的振动性[J].数学杂志,2017,37(5):1007-1012. |
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| 作者姓名： | 邹敏 陈荣三 刘安平 |
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| 作者单位： | 中国地质大学(武汉)数学与物理学院, 湖北武汉 430074,中国地质大学(武汉)数学与物理学院, 湖北武汉 430074,中国地质大学(武汉)数学与物理学院, 湖北武汉 430074 |
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| 基金项目： | Supported by National Natural Science Foundation of China (11201436). |
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| 摘 要： | 本文研究了带泛函参数的非线性脉冲时滞双曲方程的振动性问题.利用积分平均法和里卡蒂方法得到了这类方程解的振动性的一个充分条件，对非线性时滞双曲方程解的震动性进行了推广，能更好地利用一些现有的脉冲时滞常微分方程解的振动性的结论.
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| 关 键 词： | 振动 脉冲 时滞 双曲方程 Riccati不等式 |
| 收稿时间： | 2015/11/25 0:00:00 |
| 修稿时间： | 2016/3/4 0:00:00 |
OSCILLATION OF NONLINEAR IMPULSIVE DELAY HYPERBOLIC EQUATION WITH FUNCTIONAL ARGUMENTS VIA RICCATI METHOD |
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| ZOU Min,CHEN Rong-san and LIU An-ping.OSCILLATION OF NONLINEAR IMPULSIVE DELAY HYPERBOLIC EQUATION WITH FUNCTIONAL ARGUMENTS VIA RICCATI METHOD[J].Journal of Mathematics,2017,37(5):1007-1012. |
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| Authors: | ZOU Min CHEN Rong-san and LIU An-ping |
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| Institution: | School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China,School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China and School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China |
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| Abstract: | In this paper, we mainly deal with the oscillation problems of nonlinear impulsive hyperbolic equation with functional arguments. By using integral averaging method and a generalized Riccati technique, a sufficient condition for oscillation of the solutions of nonlinear impulsive hyperbolic equation with functional arguments is obtained. We can make better use of some existing conclusions about oscillation of the solutions of impulsive ordinary differential equations with delay. |
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| Keywords: | oscillation impulsive delay hyperbolic equation Riccati inequality |
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