Cantor families of periodic solutions for completely resonant nonlinear wave equations


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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.

Cantor families of periodic solutions for completely resonant nonlinear wave equations Cantor families of periodic solutions for completely resonant nonlinear wave equations
Cantor families of periodic solutions for completely resonant nonlinear wave equations Cantor families of periodic solutions for completely resonant nonlinear wave equations
Cantor families of periodic solutions for completely resonant nonlinear wave equations Cantor families of periodic solutions for completely resonant nonlinear wave equations
Cantor families of periodic solutions for completely resonant nonlinear wave equations Cantor families of periodic solutions for completely resonant nonlinear wave equations
Cantor families of periodic solutions for completely resonant nonlinear wave equations Cantor families of periodic solutions for completely resonant nonlinear wave equations
Cantor families of periodic solutions for completely resonant nonlinear wave equations Cantor families of periodic solutions for completely resonant nonlinear wave equations
Cantor families of periodic solutions for completely resonant nonlinear wave equations Cantor families of periodic solutions for completely resonant nonlinear wave equations
Cantor families of periodic solutions for completely resonant nonlinear wave equations Cantor families of periodic solutions for completely resonant nonlinear wave equations

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