具非线性扩散系数和阻尼项的双曲型偏微分方程系统解的振动性  

Oscillation of the Solutions of Neutral Hyperbolic Partial Differential Equations with Nonlinear Diffusion Coefficient and Damped Terms

作　　者：曾云辉[1] 罗碧飞 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008 [2]衡阳市实验中学,湖南衡阳421001

出　　处：《衡阳师范学院学报》2009年第3期11-14,共4页Journal of Hengyang Normal University

基　　金：湖南省教育厅基金资助项目(07C165);衡阳师范学院科学基金资助项目(08A26)

摘　　要：研究了一类具非线性扩散系数和阻尼项的双曲型偏微分方程系统2ui(x,t)/t2+m(t)ui(x,t)/t=ai(t)hi(ui)Δui+sum from j=1 to n aij(t)hij(ui(x,t-τj(t)))Δui(x,t-τj(t))-sum from k=1 to m bik(x,t)uk(x,t-σ(t))(x,t)∈Ω×R+≡G,i=1,2,…m,获得了该方程组在Robin边值条件下解振动的充分条件。In this paper,we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.Some sufficient conditions for solutions to oscillation are obtained under Robin boundary condition.

关 键 词：阻尼项 非线性扩散系数 双曲型偏微分方程系统 振动性 

分 类 号：O175.27[理学—数学]