摘要
研究了一类高阶线性差分方程yn+1=α+a1yn+a2yn-1+…+akyn-k+1,n=0,1,2,…,其中k是正整数α,a1,a2,…,ak参数和初始值y-k+1,y-k+2,…,y0为非负实数.给出一个的充分条件,在该条件下考察该差分方程非负解的收敛性、有界性等问题.
In this paper, the authors investigate the higher-order linear difference equation yn＋1=a＋a1yn＋a2yn-1＋…＋akyn-k＋1,n=0,1,2…, where k is a nonnegative integer, the parametersa,a1,a2,…,ak and the initial conditions y-k＋1,y-k＋2,…,y0, yo are nonnegative real numbers. The sufficient condition for this equation is obtained here in the paper. Under a sufficient condition, we investigate the convergence and the boundedness of the nonnegative solutions of differential equations.
出处
《广西工学院学报》
CAS
2013年第2期32-35,共4页
Journal of Guangxi University of Technology
基金
国家自然科学基金项目(11161029)
广西自然科学基金项目(2010GXNSFA013109
2010GXNSFA013106
2013GXNSFBA019020
2013GXNSFAA019001)
广西教育厅科学基金项目(200911MS298
200911MS212)
广西工学院科学基金项目(1166218)资助
关键词
线性差分方程
收敛
有界性
linear difference equation
convergence
boundedness
