Volume 37 • Number 2 • 2014   • Notes on Periodic Solutions for a Nonlinear Discrete System Involving the $p$-Laplacian Xingyong Zhang Abstract. In this paper, we first improve two inequalities, then by using critical point theory, improve an existence theorem of periodic solutions for a nonlinear discrete system involving the $p$-Laplacian, and present some estimates of periodic solutions. 2010 Mathematics Subject Classification: 39A23, 37J45, 35A15 Full text: PDF