摘要
本文对含有阻尼项二阶混合非线性椭圆方程,建立了其所有解振动的判定定理.这些定理包含和改进了其对应的常微分方程和超线性椭圆方程相应的结果.
In this paper,the oscillation criteria are established for a forced second order mixed nonlinearities elliptic partial differential equation with damping.In contrast to the existing results in the literature,our results include and improve some recent oscillation criteria for second order forced ordinary differential equations and certain second order superlinear elliptic differential equations.
出处
《工程数学学报》
CSCD
北大核心
2012年第2期278-290,共13页
Chinese Journal of Engineering Mathematics
基金
The Doctoral Program of Higher Education of China(20094407110001)
关键词
振动
强迫
混合非线性
椭圆型方程
阻尼
oscillation
forced
mixed nonlinearities
elliptic equation
damping
