期刊名称:American Journal of Computational Mathematics
印刷版ISSN:2161-1203
电子版ISSN:2161-1211
出版年度:2017
卷号:07
期号:04
页码:495-503
DOI:10.4236/ajcm.2017.74036
语种:English
出版社:Scientific Research Publishing
摘要:The study suggests asymptotic behavior of the solution to a new class of difference equations: . where a, bi, α and β are positive real numbers for i = 0, 1, · · · , k , and the initial conditions ψ -j, ψ -j+1, · · · , ψ 0 are randomly positive real numbers where j = 2 k + 1 . Accordingly, we consider the stability, boundedness an d periodicity of the solutions of this recursive sequence. Indeed, we give some interesting counter examples in order to verify our strong results.
关键词:Difference Equation;Stability;Boundedness;Globale Stability and Periodicity