Mathematics – Dynamical Systems
Scientific paper
2010-06-17
Mathematics
Dynamical Systems
18 pages, accepted by Journal of Difference Equations and Applications
Scientific paper
In this paper, we study the global attractivity for a class of periodic difference equation with delay which has a generalized form of Pielou's difference equation. The global dynamics of the equation is characterized by using a relation between the upper and lower limit of the solution. There are two possible global dynamics: zero solution is globally attractive or there exists a periodic solution which is globally attractive. Recent results in [E. Camouzis, G. Ladas, Periodically forced Pielou's equation, J. Math. Anal. Appl. 333 (1) (2007) 117-127] is generalized. Two examples are given to illustrate our results.
Ishihara Keigo
Nakata Yukihiko
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