三阶时滞差分方程的振动性与渐进性
来源期刊:中南大学学报(自然科学版)2003年第2期
论文作者:周英告 刘一戎
文章页码:218 - 220
关键词:时滞;差分方程;振动
Key words:delay; difference equation; oscillation
摘 要:研究了形如△3xn+[m∑i=1] pi(n)xn-ki==0 的一类三阶时滞差分方程的振动性与渐进性,得到了其解振动的2个充分条件,从而将X.H.Tang等提出的一阶形式的差分方程的振动性问题推广到三阶形式的振动性问题上.
Abstract: This paper studies the oscillations and asymptotic properties of the cubic-order delay difference equation△3xn+[m∑i=1] pi(n)xn-ki==0 , where {pi(n)} is a sequence of nonnegative real numbers,kiis positive integer,i= 1, 2,…. Two sufficient conditions for the equation mentioned above are given , which extends the results of oscillation of first-order delay difference equation referred to by X.H.Tang.