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| 某类二阶非线性中立型时滞微分方程的振动性 | |
| 引用本文： | 邹杰涛,朱红霞,侯艳红.某类二阶非线性中立型时滞微分方程的振动性[J].太原理工大学学报,2007,38(5):458-460. |
| 作者姓名： | 邹杰涛 朱红霞 侯艳红 |
| 作者单位： | 1. 北方工业大学,理学院,北京,100041 2. 河北廊坊师范学院,数学与信息科学学院,廊坊,065000 3. 北方工业大学,理学院,北京,100041;太原理工大学,理学院,山西,太原,030024 |
| 摘 要： | 讨论中立型项目的一阶导数带有齐次幂的一类二阶非线性中立型时滞微分方程解的性质。在振动因子q(t)保号、中立型因子p(t)<1的情况下,通过对中立型项一阶导数符号的讨论,根据Holder不等式,研究了该类方程的解振动的条件,得到了所研究方程所有解振动的三个充分性定理,所得结论是对该类问题已有结论的进一步完善和推广。 |
| 关 键 词： | 非线性 微分方程 中立型 时滞 振动性 |
| 文章编号： | 1007-9432（2007）05-0458-03 |
| 修稿时间： | 2007-01-22 |
Oscillation of Second Order Nonlinear Neutral Differential Equation |
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| ZOU Jie-tao,ZHU Hong-xia,HOU Yan-hong.Oscillation of Second Order Nonlinear Neutral Differential Equation[J].Journal of Taiyuan University of Technology,2007,38(5):458-460. | |
| Authors: | ZOU Jie-tao ZHU Hong-xia HOU Yan-hong |
| Abstract: | This paper discusses the oscillation of one kind of second-order neutral delay differential equation in which neutral term's first derivative has homogeneous power.In the case that the oscillation factor isn't sign reversal and neutral factor is p(t)<1,by discussing the sign of the neutral term's first derivative and using Holder inequality,the oscillation conditions of the all solutions of this kind of equation are studied,three sufficient theories that all solutions of the equation oscillate are obtained.These conclusions further generalize the existing conclusions of this kind of problem. |
| Keywords: | nonlinear differential equation neutral delay oscillation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |
