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一类具有连续分布的偏差变元的双曲型方程的振动准则
引用本文:林诗仲,周正新,俞元洪.一类具有连续分布的偏差变元的双曲型方程的振动准则[J].数学杂志,2005,25(5):521-526.
作者姓名:林诗仲  周正新  俞元洪
作者单位:1. 海南师范学院数学系,海口,571158
2. 扬州师范大学数学系,扬州,225002
3. 中国科学院系统科学与数学研究所,北京,100080
基金项目:Supported by NSF of Education Department of Hainan Province.
摘    要:本文研究了连续分布偏差变元的双曲型方程,利用化多维振动问题为一维问题的方法,得到了某些边值问题的每一个解均为振动的充分条件。所得条件推广和改进了文献中的结果。

关 键 词:振动准则  双曲型方程  连续分布的偏差变元
文章编号:0255-7797(2005)05-0521-06
收稿时间:2003-06-02
修稿时间:2003-06-022003-09-18

OSCILLATION CRITERIA FOR A CLASS OF HYPERBOLIC EQUATIONS WITH CONTINUOUS DISTRIBUTED DEVIATING ARGUMENTS
LIN Shi-Zhong,ZHOU Zheng-xin,YU Yuan-hong.OSCILLATION CRITERIA FOR A CLASS OF HYPERBOLIC EQUATIONS WITH CONTINUOUS DISTRIBUTED DEVIATING ARGUMENTS[J].Journal of Mathematics,2005,25(5):521-526.
Authors:LIN Shi-Zhong  ZHOU Zheng-xin  YU Yuan-hong
Institution:1. Dept. of Math. , Hainan Normal University, Haikou 571158, China;2. Dept. of Math. , College of Science ,Yangzhou University ,Yangzhou 225002, China;3. Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China
Abstract:In this paper hyperbolic equations with continuous distributed deviating arguments are studied and sufficient conditions are obtained for every solution of certain boundary value problems to be oscillatory by reducing the multi-dimensional oscillation problems to one-dimensional problems. Conditions obtained extend and improve some existing results in the literature.
Keywords:oscillation criteria  hyperbolic equations  continuous distributed deviating arguments
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