一类差分方程的频率振动解
Frequently Oscillatory Solutions of a class of Difference Equation
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。
Abstract
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 differe
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Key words
Neutral difference equation/Frequency measure/Frequently oscillatory sequence/Positively oscillatory i Negatively oscill引用本文复制引用
出版年
2011
NETL
NSTL
万方数据