Multiple periodic solutions for a class of nonlinear difference systems with classical or bounded ( ? 1 , ? 2 ) -Laplacian

摘要

In this paper, we consider the multiplicity of periodic solutions for a class of difference systems involving the ( ? 1 , ? 2 ) -Laplacian in the cases when the gradient of the nonlinearity has a sublinear growth. By using the variational method, some existence results are obtained. Our results generalize some recent results in (Mawhin in Discrete Contin. Dyn. Syst. 6:1065-1076, 2013).