

浏览全部资源
扫码关注微信
1. 新疆大学数学与系统科学学院
2. 新疆建设职业技术学院继续教育部
Published:2012
移动端阅览
[1]胡成,刘艳,蒋海军,等.一类差分方程的解及其渐近行为(英文)[J].新疆大学学报(自然科学版),2012,29(01):38-45.
胡成, 刘艳, 蒋海军, et al. 一类差分方程的解及其渐近行为(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2012, 29(1): 38-45.
研究了一类有理差分方程.通过分别考虑三种不同的情况
得到了方程的显式解.并在此基础上
讨论了方程的稳定性和解的渐近性质.与已有结论相比较
本文得到的结论更一般.最后给出数值实例来验证理论结果的正确性和有效性.
In this paper
a class of rational difference equation is studied.By respectively considering three cases
some explicit formulas of solutions are obtained and the stability and asymptotic behavior of solutions are discussed via using these explicit formulas.Compared with some previous results
our results are more general and less conservative.Finally
some numerical simulations are presented to show the effectiveness and feasibility of our results.
Aloqeili M.Dynamics of a k-th order rational difference equation[J].Appl Math Comput,2006,181:1328-1335.
Berenhaut K S,Stevic′S.The global attractivity of a higher order rational difference equation[J].J Math Anal Appl,2007,326:940-944.
Berenhaut K S,Foley J D,Stevic′S.The global attractivity of the rational difference equation y n=y n k+y n m 1+y n k y n m[J].Appl Math Lett,2007,20:54-58.
Berenhaut K S,Donadio K M,Foley J D.On the rational recursive sequence y n=A+y n1 y n m for small A[J].Appl Math Lett,2008,21:906-909.
Hu L,Li W,Xu H.Global asymptotical stability of a second order rational difference equation[J].Comput Math Appl,2007,54:1260-1266.
Kulenovic′MRS,Ladas G,Prokup N R.A Rational Difference Equation[J].Comput Math Appl,2001,41:671-678.
Liao M,Li X,Tang X.Global asymptotic behavior and boundedness of positive solutions to an odd-order rational difference equation[J].Comput Math Appl,2008,56:305-310.
¨Ozban A Y.On the positive solutions of the system of rational difference equations x n+1=1 y n k,y n+1=y n x n m y n m k[J].J Math Anal Appl,2006,323:26-32.
Rhouma M B H.The Fibonacci sequence moduloπ,chaos and some rational recursive equations[J].J Math Anal Appl,2005,310:506-517.
Shojaei M,Saadati R,Adibi H.Stability and periodic character of a rational third order difference equation[J].Chaos,Solitons&Fractals,2009,39:1203-1209.
Stevic′S.More on a rational recurrence relation[J].Appl Math E-Notes,2004,4:80-84.
Cinar C.On the positive solutions of the difference equation x n+1=x n1 1+x n1 x n[J].Appl Math Comput,2004,150:21-24.
Cinar C.On the difference equation x n+1=x n1 1+x n1 x n[J].Appl Math Comput,2004,158:813-816.
Aloqeili M.Dynamics of a rational difference equation[J].Appl Math Comput,2006,176:768-774.
Cinar C.On the positive solutions of the difference equation x n+1=x n1 1+ax n1 x n[J].Appl Math Comput,2004,158:809-812.
Cinar C.On the solutions of the difference equation x n+1=x n1 1+ax n1 x n[J].Appl Math Comput,2004,158:793-797.
Cinar C.On the positive solutions of the difference equation x n+1=ax n1 1+bx n x n1[J].Appl Math Comput,2004,156:587-590.
0
Views
101
下载量
0
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621