Quasi-periodic oscillations for wave equations under periodic forcing
Berti, Massimiliano ; Procesi, Michela
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 16 (2005), p. 109-116 / Harvested from Biblioteca Digitale Italiana di Matematica

Existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced, nonlinear wave equations with periodic spatial boundary conditions is established. We consider both the cases the forcing frequency is (Case A) a rational number and (Case B) an irrational number.

Si dimostra l'esistenza di soluzioni quasi periodiche con due frequenze per una classe di equazioni delle onde non lineari completamente risonanti aventi un termine forzante periodico. Consideriamo che la frequenza forzante sia un numero razionale (Caso A), sia irrazionale (Caso B).

Publié le : 2005-06-01
@article{RLIN_2005_9_16_2_109_0,
     author = {Massimiliano Berti and Michela Procesi},
     title = {Quasi-periodic oscillations for wave equations under periodic forcing},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {16},
     year = {2005},
     pages = {109-116},
     zbl = {1225.35146},
     mrnumber = {2225504},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2005_9_16_2_109_0}
}
Berti, Massimiliano; Procesi, Michela. Quasi-periodic oscillations for wave equations under periodic forcing. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 16 (2005) pp. 109-116. http://gdmltest.u-ga.fr/item/RLIN_2005_9_16_2_109_0/

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