Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709339 | Applied Mathematics Letters | 2008 | 4 Pages |
Abstract
This work studies the existence of positive prime periodic solutions of higher order for rational recursive equations of the form yn=A+yn−1yn−m,n=0,1,2,…, with y−m,y−m+1,…,y−1∈(0,∞)y−m,y−m+1,…,y−1∈(0,∞) and m∈{2,3,4,…}m∈{2,3,4,…}. In particular, we show that for sufficiently small A>0A>0, there exist periodic solutions with prime period 2m+Um+12m+Um+1, for almost all mm, where Um=max{i∈N:i(i+1)≤2(m−1)}Um=max{i∈N:i(i+1)≤2(m−1)}.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Kenneth S. Berenhaut, Katherine M. Donadio, John D. Foley,