Abstract
In this paper, we study the existence of quasi-periodic solutions and the boundedness of solutions for a wide class nonlinear differential equations of second order. Using the KAM theorem of reversible systems and the theory of transformations we obtain the existence of quasi-periodic solutions and the boundedness of solutions under some reasonable conditions.
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Bin, L., Jiangong, Y. Quasiperiodic solutions for nonlinear differential equations of second order with symmetry. Acta Mathematica Sinica 10, 231–242 (1994). https://doi.org/10.1007/BF02560714
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DOI: https://doi.org/10.1007/BF02560714