(1) Departamento de Matematica, UFPB-CCEN, Joao Pessoa-Pb., CEP:58.059-900, Brazil;(2) Instituto de Matematica, UFRJ, Rua Voluntarios da Patria, 127/106, 22270-000 Rio de Janeiro, R.J., Brasil
Abstract:
In this paper we prove existence of periodic solutions to a nonlinear evolution system of second order partial differential equations involving the pseudo-Laplacian operator. To show the existence of periodic solutions we use Faedo-Galerkin method with a Schauder fixed point argument.