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.
作者
罗振国
罗李平
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)
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)。
关键词
振动性
中立型
双曲方程
非线性扩散项
变时滞
oscillation
neutral type
hyperbolic equation
nonlinear diffusion term
variable delay
