摘要
本文研究了一类二阶非线性中立型时滞差分方程的正解,得到了最终正解的存在性判据及存在正解的必要条件,建立了一些正解不存在性定理.所得结论推广并改进了已知的一些结果。
Positive solutions for a class of second order nonlinear neutral delay difference equations are studied in this paper. Existence criteria for eventually positive solutions and necessary conditions for existing positive solutions are obtained. Some nonexistence theorems of positive solutions are established. The conclusions extend and improve some known results.
出处
《应用数学学报》
CSCD
北大核心
1999年第3期383-391,共9页
Acta Mathematicae Applicatae Sinica
关键词
中立型
非线性
时滞差分方程
正解
Neutral difference equation, nonlinear delay difference equation, eventually positive solution