We prove the existence of infinitely many periodic solutions accumulating to zero for the one-dimensional nonlinear wave equation (vibrating string equation). The periods accumulate to zero and are both rational and irrational multiples of the string length.
Periodic solutions of Birkhoff-Lewis type for the nonlinear wave equation / Biasco, L.; Di Gregorio, L.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - (2007), pp. 102-109.
Periodic solutions of Birkhoff-Lewis type for the nonlinear wave equation
Di Gregorio L.
2007
Abstract
We prove the existence of infinitely many periodic solutions accumulating to zero for the one-dimensional nonlinear wave equation (vibrating string equation). The periods accumulate to zero and are both rational and irrational multiples of the string length.File allegati a questo prodotto
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