Existence of Periodic Solutions for a Class of Asymptotically p-Linear Discrete Systems Involving p-Laplacian. (7th May 2012) - Chen, Kai
Abstract : By applying Mountain Pass Theorem in critical point theory, two existence results are obtained for the following asymptoticallyp -linearp -Laplacian discrete systemΔ ( | Δ u ( t − 1 ) | p − 2 Δ u ( t − 1 ) ) + ∇ [ − K ( t, u ( t ) ) + W ( t, u ( t ) ) ] = 0 . The results obtained generalize some known works.