一类中立型双曲微分方程组解的振动性  

Oscillations of Solutions to a System of Neutral Hyperbolic Differential Equations

作　　者：刘霞文[1] 邱一鸣[2] 

机构地区：[1]湖南工业大学理学院,湖南株洲412007 [2]中山大学工学院,广东广州510006

出　　处：《湖南工业大学学报》2015年第4期104-108,共5页Journal of Hunan University of Technology

基　　金：湖南省教育厅科学研究基金资助项目(13C054)

摘　　要：不采用通常的垂直相加法,而是直接给出振动的定义,并利用Green公式以及齐次Neumann边界条件,把中立型双曲微分方程组的振动问题,转化为泛函微分不等式不存在最终正解的问题;再利用最终正解的定义及上下极限,得到在齐次Neumann边界条件下,判别其所有解振动的充分条件。Instead of adopting vertically additive method, directly presents the definition of oscillation and by using Green formula and homogeneous Neumann boundary conditions converts oscillatory problem of neutral hyperbolic differential equations into the problem of nonexistence of eventually positive solution of functional differential inequality, and uses the final positive solution definition and upper and lower limits to obtain sufficient conditions for judging oscillation of all solutions under boundary condition of homogeneous Neumann.

关 键 词：中立型双曲微分方程组 解振动 最终正解 最终负解 

分 类 号：O175.29[理学—数学]