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| 具连续分布滞量的偶数阶非线性中立型偏微分方程的振动准则 | |
| 引用本文： | 罗李平,王智慧,欧阳自根.具连续分布滞量的偶数阶非线性中立型偏微分方程的振动准则[J].贵州师范大学学报(自然科学版),2006,24(2):66-70. |
| 作者姓名： | 罗李平 王智慧 欧阳自根 |
| 作者单位： | 1. 衡阳师范学院,数学系,湖南,衡阳,421008 2. 邵阳学院,数学系,湖南,邵阳,422000 3. 南华大学,数学系,湖南,衡阳,421001 |
| 基金项目： | 中国科学院资助项目 , 湖南省教育科学规划项目 |
| 摘 要： | 研究一类具连续分布滞量的偶数阶非线性中立型偏泛函微分方程解的振动性,利用化多维振动问题为一维问题的方法,获得了该类方程在两类边值条件下所有解振动的新的充分条件,所得结果推广和包含了已知的一些结果. |
| 关 键 词： | 偶数阶偏泛函微分方程 非线性中立型 振动性 连续分布滞量 |
| 文章编号： | 1004-5570（2006）02-0066-05 |
| 收稿时间： | 2005-10-17 |
| 修稿时间： | 2005年10月17 |
Oscillatory criteria for a class of even order nonlinear neutral partial differential equations with continuous distributed delay |
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| LUO Li-ping,WANG Zhi-hui,OUYANG Zi-gen.Oscillatory criteria for a class of even order nonlinear neutral partial differential equations with continuous distributed delay[J].Journal of Guizhou Normal University(Natural Sciences),2006,24(2):66-70. | |
| Authors: | LUO Li-ping WANG Zhi-hui OUYANG Zi-gen |
| Abstract: | The oscillation solutions for a class of even order nonlinear neutral partial functional differential equations with continuous distributed delays are studied. Sufficient conditions are obtained for all solutions of the equations to be oscillatory under two boundary conditions by reducing the multi - dimensional oscillation problems to one -dimensional problems. Results obtained generalize and include some known results. |
| Keywords: | even order partial functional differential equation nonlinear neutral type oscillation continuous distributed delay |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |