TY - JOUR AU - Xiao, Huafeng PY - 2014 DA - 2014/08/04 TI - Periodic solutions of second order difference systems with even potential JO - Advances in Difference Equations SP - 215 VL - 2014 IS - 1 AB - In this article, we study the multiplicity and minimality of periodic solutions to difference systems, which are globally superquadratic or subquadratic. A new technique is given to detect the minimal period of periodic solutions to autonomous systems. Some weaker conditions than a globally subquadratic condition are obtained to guarantee the existence of periodic solutions with prescribed minimal period to autonomous system. SN - 1687-1847 UR - https://doi.org/10.1186/1687-1847-2014-215 DO - 10.1186/1687-1847-2014-215 ID - Xiao2014 ER -