一个有理递归序列解的稳定性条件研究  

Research on a Stability Condition that Reasonable Recursively Defined Sequence Unties

作　　者：孙校书[1] 张勇[2] 潘华 

机构地区：[1]海军航空工程学院,山东烟台264001 [2]海军航空工程学院基础部,山东烟台264001 [3]烟台大信药业,山东烟台264000

出　　处：《海军航空工程学院学报》2008年第3期358-360,共3页Journal of Naval Aeronautical and Astronautical University

摘　　要：方程xn＋1=（a＋bxn^2）/（c＋xn-k^2）,a,b,c∈[0,∞）,a＋b〉0,nk∈{0,1,2……}的解有很多有意义的性质。Li证明了当a〈b≤1／2时，该方程的平衡解x^-是全局渐进稳定的。文章进一步证明了在b〈a和一定的条件下，上述方程的惟一正平衡解是全局渐进稳定的，进一步扩充了Li的研究。The Equationxn＋1=（a＋bxn^2）/（c＋xn-k^2）,a,b,c∈[0,∞）,a＋b〉0,nk∈{0,1,2……}havealot meaningful nature. Mr. Li have proved then, the balance of this equation untie is overall situation advance gradually to stabilize. This paper have proved further if b 〈 a and with certain condition take off, the only straight balance of above-mentioned equation untie is overall situation advance gradually to stabilize, have expanded the research of Li further.

关 键 词：有理递归序列 全局渐进稳定 半环 

分 类 号：O175[理学—数学]