摘要
本文讨论了一类差分方程的解的频率振动性,建立了新的频率振动性定理,给出了如下中立型差分方程的解的频率振动的充分条件,从而简化和改进了文献[3]中的相应条件与结论:△(xn+cnxn-k)=f(n,xn-1),n=0,1,2,…其中k≥1与l≥1均为正整数,1Cn∩∞n=0是一实数列,f是定义在Z×R上的函数。
In this paper, we discuss the frequently oscillatory behavior of the solutions of a class of difference equation, then we establish a new frequently oscillatory theorem and present the suffcient conditions of the solutions of the following neutral difference equation to be frequently oscillatory,thus we simplify and improve the correspondence conditions and conclusions in △（xn＋cnxn-k）=f（n,xn-1）,n=0,1,2,…where k≥1,I≥1 are all integers, and 1Cn∩∞n=0 is a real sequence, alsofis a function defined on ZxR.
出处
《科技信息》
2011年第11期I0213-I0214,共2页
Science & Technology Information
关键词
中立型差分方程
频率测度
频率振动性
正振动
负振动
Neutral difference equation
Frequency measure
Frequently oscillatory sequence
Positively oscillatory i Negatively oscillatory
