Geodesic
On the existence of periodic solutions of an hyperbolic equation in a thin domain
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 3, pp. 189-195

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

For a nonlinear hyperbolic equation defined in a thin domain we prove the existence of a periodic solution with respect to time both in the non-autonomous and autonomous cases. The methods employed are a combination of those developed by J. K. Hale and G. Raugel and the theory of the topological degree. 
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     title = {On the existence of periodic solutions of an hyperbolic equation in a thin domain},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {189--195},
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     number = {3},
     year = {1997},
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     mrnumber = {MR1611617},
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Johnson, Russell; Kamenskii, Mikhail; Nistri, Paolo. On the existence of periodic solutions of an hyperbolic equation in a thin domain. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 8 (1997) no. 3, pp. 189-195. http://geodesic.mathdoc.fr/item/RLIN_1997_9_8_3_a2/