On the existence of periodic solutions of an hyperbolic equation in a thin domain
Johnson, Russell ; Kamenskii, Mikhail ; Nistri, Paolo
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 8 (1997), p. 189-195 / Harvested from Biblioteca Digitale Italiana di Matematica
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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.

Si prova l'esistenza di soluzioni periodiche di un'equazione iperbolica smorzata definita in un dominio sottile sia nel caso autonomo che in quello non autonomo. I metodi impiegati sono una combinazione di quelli sviluppati da J. K. Hale e G. Raugel e la teoria del grado topologico.

Publié le : 1997-10-01
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     author = {Russell Johnson and Mikhail Kamenskii and Paolo Nistri},
     title = {On the existence of periodic solutions of an hyperbolic equation in a thin domain},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {8},
     year = {1997},
     pages = {189-195},
     zbl = {0910.35008},
     mrnumber = {1611617},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1997_9_8_3_189_0}
}

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. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 8 (1997) pp. 189-195. http://gdmltest.u-ga.fr/item/RLIN_1997_9_8_3_189_0/

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