连续变量差分方程的振动性  

Oscillation of Difference Equations with Continuous Variable

作　　者：毕平[1] 

机构地区：[1]上海交通大学数学系,上海200240

出　　处：《河北师范大学学报（自然科学版）》2003年第6期549-552,556,共5页Journal of Hebei Normal University：Natural Science

基　　金：教育部博士点基金资助项目

摘　　要：研究具有连续变量的中立型差分方程,建立非线性差分方程与其对应线性差分方程振动性间的关系.在一定条件下,通过一个线性方程的振动性,可以判定一个较复杂的非线性方程甚至一类方程的振动性,同时给出示例说明结论的正确性.Establishes the relationship between the oscillation of neutral difference equations with continuous variable and that of its associated linear limiting equations.That is,reduce the oscillation of nonlinear equations to that of a simple linear equation.As an application,an example of the main results is presented.

关 键 词：连续变量差分方程 振动性 非线性差分方程 中立型差分方程 差分算子 

分 类 号：O241.84[理学—计算数学]