具非线性扩散系数的中立双曲型偏微分方程系统解的振动定理  

Oscillation Theorems for Systems of Solutions Neutral Partial Differential Equations with Nonliear Diffusion Coefficient

作　　者：曾云辉[1] 罗李平[1] 

机构地区：[1]衡阳师范学院数学与计算科学系,湖南衡阳421008

出　　处：《数学的实践与认识》2011年第7期239-243,共5页Mathematics in Practice and Theory

基　　金：衡阳师范学院青年科学基金(10A42)

摘　　要：考虑一类具非线性扩散系数的中立双曲型偏微分方程系统解的振动性.利用Green公式和Riccati变换,获得了该方程组在两类不同边值条件下振动的若干充分条件.Oscillation of solutions of systems to neutral hyperbolic Partial differential equations with nonliear diffusion coefficient is studied. By using Green theorem and riccati transformation, some sufficient conditions are obtained for oscillation of the systems under two kinds of different boundary value conditions.

关 键 词：振动 RICCATI变换 偏微分方程系统 

分 类 号：O175.27[理学—数学]