摘要
利用积分法研究了二阶具连续变量中立型非线性差分方程的线性振动性,即建立了此非线性差分方程和其相应的线性极限方程振动性间的联系.通过判定一个较简单的线性差分方程的振动性,就可以得到其相应非线性差分方程,甚至是一类非线性差分方程的振动性.
Linearied oscillation of second-order neutral difference equations with continuous variable was studied. The relation between the oscillation of the equation and its associated linear limiting equation was established. Hence the oscillatory criteria of the nonlinear difference equation(even a class of nonlinear difference equations) can be obtained by that of the corresponding linear difference equation.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2004年第4期646-649,共4页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金资助项目(10371072)
教育部博士点基金资助项目(20010248019
20020248010)
关键词
线性振动
中立型
连续变量
linearized oscillation
neutral
continuous variable
