%0 Journal Article %T Existence of periodic solutions for second-order nonlinear difference equations %A Ren, Zhiguo %A Li, Jie %A Shi, Haiping %J Journal of Nonlinear Sciences and Applications %D 2016 %V 9 %N 4 %@ ISSN 2008-1901 %F Ren2016 %X By using the critical point method, the existence of periodic solutions for second-order nonlinear difference equations is obtained. The proof is based on the Saddle Point Theorem in combination with variational technique. The problem is to solve the existence of periodic solutions of second-order nonlinear difference equations. One of our results obtained complements the result in the literature. %9 journal article %R 10.22436/jnsa.009.04.09 %U http://dx.doi.org/10.22436/jnsa.009.04.09 %P 1505--1514