摘要
研究三阶有理差分方程x_(n+1)=ax_(n-1)+x_(n-1)x_n/bx_(n-2)+cx_n,n=0,1,2,...的奇点集和解{x_n}_(n=-2)~∞的渐近性,其中a,b,c∈R,初始值x_(-2),x_(-1),x_0∈R.由a,b,c的取值的不同,而得到解的不同的渐近性.
We study the forbidden set and asymptotic behaviour of solutions of the threeorder difference equation x_（n＋1）=ax_（n-1）＋x_（n-1）x_n/bx_（n-2）＋cx_n,n=0,1,2,... With a,b,c ∈ R and initial valuas x_（-2）,x_（-1）,x_0∈R.By the value of a,b,c is different,and obtain the different asymptotic behavior of solutions.
出处
《数学的实践与认识》
北大核心
2017年第1期229-235,共7页
Mathematics in Practice and Theory
关键词
差分方程
Riccati差分方程
奇点集
周期解
渐近性
difference equation
riccati difference equation
forbidden set
periodic solution
asymptotic behaviour
