二阶混合非线性椭圆方程的强迫振动性质(英文)  

Forced Oscillation for Second Order Elliptic Equations with Mixed Nonlinearities

作　　者：杨戈锋[1] 徐志庭[2] 

机构地区：[1]广东外语外贸大学思科信息学院,广州510006 [2]华南师范大学数学科学学院,广州510631

出　　处：《工程数学学报》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)

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.

关 键 词：振动 强迫 混合非线性 椭圆型方程 阻尼 

分 类 号：O175.25[理学—数学]