摘要
研究了一类具有阻尼项的二阶半线性偏微分方程div(A(x)‖▽u(x)‖p-2▽u(x))+〈■(x),‖▽u(x)‖p-2▽u(x)〉+C(x)u(x)p-2u(x)=0,p>1运用偏Riccati变换和H函数方法,获得了该方程解的振动性的若干充分条件.
This paper studies oscillation for the solutions of second order half-linear partial differential equation with damping terms. By using generalized Riccati transformation and methods of H function, some new sufficient conditions for the oscillation of each solution of the equation are obtained.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第11期223-227,共5页
Mathematics in Practice and Theory
基金
湖南省教育厅科计划项目(07C164)
关键词
二阶半线性偏微分方程
偏Riccati变换
阻尼项
振动性
second order half-linear partial differential equation
generalized Riccatitransformation
damping terms
oscillation
