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- Cantor families of periodic solutions for wave equations via a variational principle.
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Cantor families of periodic solutions of wave equations with Ck nonlinearities Massimiliano Berti , Philippe Bolle. Existence of time periodic solutions for a class of non-resonant discrete wave equations Guang Zhang , Wenying Feng , Yubin Yan.
Ja n 20 07 Periodic solutions of forced Kirchhoff equations Pietro Baldi. Bifurcation of free vibrations for completely resonant wave equations Massimiliano Berti , Philippe Bolle. References Publications referenced by this paper. Newton's method and periodic solutions of nonlinear wave equations William Craig , C. Eugene Wayne.
Existence of time periodic solutions for a class of non-resonant discrete wave equations
Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory C. Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies Pietro Baldi , Massimiliano Berti. The Cantor gaps are due to "small divisors" phenomena.
To solve the bifurcation equation we develop a suitable variational method. In particular, we do not require the typical "Arnold non-degeneracy condition" of the known theory on the nonlinear terms. As a consequence our existence results hold for new generic sets of nonlinearities.
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Cantor families of periodic solutions for wave equations via a variational principle. Title Cantor families of periodic solutions for wave equations via a variational principle Publication Type Journal Article Year of Publication Authors Berti, M , Bolle, P Journal Advances in Mathematics Volume Pagination ISSN Abstract We prove existence of small amplitude periodic solutions of completely resonant wave equations with frequencies in a Cantor set of asymptotically full measure, via a variational principle.
Related Cantor families of periodic solutions for completely resonant nonlinear wave equations
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