Journal of Dynamics and Differential Equations

, Volume 18, Issue 4, pp 943–960

Multiplicity Results for Periodic Solutions to Second-Order Difference Equations


DOI: 10.1007/s10884-006-9042-1

Cite this article as:
Guo, Z. & Yu, J. J Dyn Diff Equat (2006) 18: 943. doi:10.1007/s10884-006-9042-1


By using the Zp geometrical index theory, some sufficient conditions on the multiplicity results of periodic solutions to the second-order difference equations
are obtained. By two examples, we show that our results are the best possible in the sense that the lower bound of the number of periodic solutions cannot be improved.


Second-order difference equationsperiodic solutioncritical pointZp index theory

Mathematics Subject Classification


Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.College of Mathematics and Information SciencesGuangzhou UniversityGuangzhouP. R. China