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The existence of periodic solutions for nonlinear beam equations on by a para‐differential method |
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| Abstract: | This paper focuses on the construction of periodic solutions of nonlinear beam equations on the d‐dimensional tori. For a large set of frequencies, we demonstrate that an equivalent form of the nonlinear equations can be obtained by a para‐differential conjugation. Given the nonresonant conditions on each finite dimensional subspaces, it is shown that the periodic solutions can be constructed for the block diagonal equation by a classical iteration scheme. |
| Keywords: | beam equations iteration scheme periodic solutions para‐differential conjugation |
