摘要
讨论了中立型差分方程Δ(xn-λxn-k)+pnf(xg(n))=0的非振动解。首先证明可以根据非振动解{xn}当n→∞时的渐近性质把非振动解分成两类;其次分别给出存在这两类非振动解的充分条件;最后给出例子说明定理的应用。
In this paper, the nonoscillatory solutions of certain neutral difference equations are studied. First of all, we divide the nonoscillatory solutions of the equations into two kinds according to their asymptotic behavior as t→∞. Secondly, we obtain sufficient conditions for the existence of the two kinds of nonoscillatory solutions of the equations respectively. Finally, we give an example to show an application of the theorems.
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第3期401-404,共4页
Periodical of Ocean University of China
关键词
中立型差分方程
非振动解
渐近性质
周期函数
neutral difference equation
nonoscillatory solution
asymptotic behavior
periodic function
