Periodic solutions of a nonlinear evolution problem
Nelson Nery Oliveira Castro, Nirzi G. de Andrade (2002)
Applications of Mathematics
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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.