一类具有强阻尼项的二阶偏微分方程组解的振动性  

Oscillation of Solutions to a Class of Second Order Partial Differential Equation Systems with Strongly Damping Terms

作　　者：蔡江涛[1] 罗李平[1] 杨柳[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《大学数学》2011年第2期68-71,共4页College Mathematics

基　　金：湖南省自然科学基金资助项目(06JJ5001);湖南省教育厅计划项目(10C0490)

摘　　要：研究一类具有强阻尼项的二阶时滞偏微分方程组解的振动性,通过利用Riccati变换、引入参数函数,获得该类方程组在Robin,Dirichlet边值条件下振动的充分判据.Oscillatory properties of solutions to a class of second order partial differential equation systems with strongly damping terms were studied.Some criteria of sufficient conditions for the oscillation of all solutions of the systems were obtained under Robin and Dirichlet boundary conditions by making use of Riccati transformation and introducing parameter function.

关 键 词：阻尼项 偏微分方程组 振动性 

分 类 号：O175.23[理学—数学]