| 一类非线性时滞双曲型偏微分方程的振动性 |
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| 引用本文： | 罗李平,欧阳自根. 一类非线性时滞双曲型偏微分方程的振动性[J]. 海军工程大学学报, 2006, 18(6): 7-9 |
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| 作者姓名： | 罗李平 欧阳自根 |
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| 作者单位： | 1. 衡阳师范学院,数学系,湖南,衡阳,421008
2. 南华大学,数学系,湖南,衡阳,421001 |
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| 摘 要： | 研究一类非线性时滞双曲型偏泛函微分方程解的振动性,利用微分不等式方法和广义Riccati变换,获得了该类方程在第一类边值条件下振动的新的充分条件,所得结果通过实例加以阐明.
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| 关 键 词： | 非线性 时滞 双曲型偏微分方程 振动性 广义Riccati变换 |
| 文章编号： | 1009-3486(2006)06-0007-03 |
| 修稿时间： | 2006-06-29 |
Oscillation of certain a nonlinear delay hyperbolic partial differential equation |
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| LUO Li-ping,OUYANG Zi-gen. Oscillation of certain a nonlinear delay hyperbolic partial differential equation[J]. Journal of Naval University of Engineering, 2006, 18(6): 7-9 |
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| Authors: | LUO Li-ping OUYANG Zi-gen |
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| Abstract: | Oscillatory properties for solutions of a class of nonlinear hyperbolic partial functional differential equation with several delays were studied,and the new sufficient conditions for oscillation of these equations were obtained under the first boundary value condition by using the method of differential inequalities and the generalized Riccati transformation.An example was given to illustrate the result. |
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| Keywords: | nonlinear delay hyperbolic partial differential equation oscillation generalized Riccati transformation |
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