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具有连续分布时滞的非线性中立型双曲微分方程解的振动性
引用本文:朱刚,任洪善,俞元洪.具有连续分布时滞的非线性中立型双曲微分方程解的振动性[J].东北师大学报(自然科学版),2007,39(2):6-10.
作者姓名:朱刚  任洪善  俞元洪
作者单位:1. 黑龙江大学数学科学学院,黑龙江,哈尔滨,150080;哈尔滨学院教育科学学院,黑龙江,哈尔滨,150086
2. 黑龙江大学数学科学学院,黑龙江,哈尔滨,150080
3. 中国科学院数学与系统科学研究院,北京,100080
基金项目:国家自然科学基金,黑龙江省教育厅科学技术研究项目
摘    要:讨论了一类具有连续分布时滞的中立型双曲方程解的振动性,运用Philos方法,得到了这类方程边值问题解的若干振动准则,这些结果实质性地推广和改进了这一方向上已有的工作.

关 键 词:中立型  连续分布时滞  双曲微分方程  振动准则
文章编号:1000-1832(2007)02-0006-05
修稿时间:2006-11-15

Oscillation criteria for nonlinear neutral hyperbolic equations with continuously distributed delays
ZHU Gang,REN Hong-shan,YU Yuan-hong.Oscillation criteria for nonlinear neutral hyperbolic equations with continuously distributed delays[J].Journal of Northeast Normal University (Natural Science Edition),2007,39(2):6-10.
Authors:ZHU Gang  REN Hong-shan  YU Yuan-hong
Institution:1. Mathematics Science College, Heilongjiang University, Harbin 150080, China; 2. Education Science School, Harbin College, Harbin 150086, China; 3. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
Abstract:In this paper,the discuss the oscillation of neutral hyperbolic differential equations with continuously distributed delay,and by using Philos' method,obtain some new oscillation criteria of boundary value problem of the abovmentioned equations,which in substance generalije and improve the known results of this direction of scientific sesearches.
Keywords:neutral type  continuously distributed delay  hyperbolic equation  oscillation criterion
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