摘要
讨论了中立型差分方程的非振动解.首先由非振动解的渐进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 one order neutral difference equations are studied. First of all, nonoscillatory solutions of the equations are divided into two kinds according to their asymptotic behavior. Secondly, sufficient conditions are obtained for the existence of two kinds of nonoscillatory solutions of the equations respectively. In the end, the example is given to illustrate the application of the theorems.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第7期225-231,共7页
Mathematics in Practice and Theory
关键词
中立型差分方程
非振动解
渐进性质
周期函数
neutral difference equation
nonoscillatory solution
asymptotic behavior
periodic function.