带变时滞影响的非线性中立型双曲方程的振动性  

Oscillation of nonlinear neutral hyperbolic equations with variable delayed influence

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作  者:罗振国 罗李平[1,2] 侯娟 LUO Zhenguo;LUO Liping;HOU Juan(College of Mathematics and Statistics,Hengyang Normal University,Hengyang 421002,Hunan,China;Hunan Provincial Key Laboratory of Intelligent Information,Processing and Application,Hengyang Normal University,Hengyang 421002,Hunan,China)

机构地区:[1]衡阳师范学院数学与统计学院,湖南衡阳421002 [2]衡阳师范学院,湖南省信息处理及其应用重点实验室,湖南衡阳421002

出  处:《上海师范大学学报(自然科学版)》2020年第3期289-294,共6页Journal of Shanghai Normal University(Natural Sciences)

基  金:The Project of“Double First-Class”Applied Characteristic Discipline in Hunan Province(Xiaojiaotong[2018]469);Hunan Provincial Natural Science Foundation of China(2018JJ2006,2019JJ40004);Scientific Research Fund of Hunan Provincial Education Department(17A030,16A031);The Training Target of the Young Backbone Teachers in Hunan Colleges and Universities(361);Hunan Provincial Key Laboratory(2016TP1020);Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University(IIPA18K05)。

摘  要:建立了一类带非线性扩散项和变时滞的中立型双曲方程在Dirichlet边界条件下解振动的一些充分条件.所得结果充分反映了时滞在方程振动中的影响作用.Some sufficient conditions are established for the oscillation of solutions of a class of neutral hyperbolic equations with nonlinear diffusion term and variable delays under Dirichlet’s boundary condition.Our results fully reflect the influence actions of delays in equation oscillation.

关 键 词:振动性 中立型 双曲方程 非线性扩散项 变时滞 

分 类 号:O175.27[理学—数学]

 

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