Geodesic
Periodic solutions of a nonlinear evolution problem
Applications of Mathematics, Tome 47 (2002) no. 5, pp. 381-396

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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.
DOI : 10.1023/A:1021757823679
Classification : 35B10, 35L99, 35Q99
Keywords: periodic solutions; fixed points; nonlinear evolution problem; pseudo-Laplacian 
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de Oliveira Castro, Nelson Nery; de Andrade, Nirzi G. Periodic solutions of a nonlinear evolution problem. Applications of Mathematics, Tome 47 (2002) no. 5, pp. 381-396. doi: 10.1023/A:1021757823679

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