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Boundedness of solutions and existence of invariant tori for generalized pendulum type equation

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References

  1. Del Pino, M., Elgueta, M., Manasevich, R., A homotopic deformation alongp of a Leray — Schauder degree result and existence for(lu’ lp-2u’)’ +f(t, u) = 0, u(0) = u(T) = 0,p > 1,J. Differential Equations, 1989, 80: 1.

    Article  Google Scholar 

  2. Del Pino, M., Manasevich, R., Murua, A., Existence and multiplicity of solutions with prescribed period for a second-order quasilinear O. D. E.,Nonlinear Analysis, TMA, 1992, 18: 79.

    Article  Google Scholar 

  3. Ding, T., Zanolin, F., Subharmonic solutions of second-order nonlinear equations: a time map approach,Nonlinear Analysis, TMA, 1993, 20: 509.

    Article  Google Scholar 

  4. Mawhin, J., Willem, M.,Critical Point Theory and Hamiltonian Systems, New York/Berlin, Springer-Verlag. 1989.

    Google Scholar 

  5. Moser, J.,Stable and Random Motions in Dynamical Systems, Princeton: Princeton Univ. Press, 1973.

    Google Scholar 

  6. Moser, J., Quasiperiodic solutions of nonlinear elliptic partial differential equations,Bol. Soc. Bras. Mat., 1989, 20(1): 29.

    Article  Google Scholar 

  7. Levi, M., KAM theory for particles in periodic potentials,Ergod. Th. & Dynam. Sys., 1990, 10: 777.

    Google Scholar 

  8. You, J., Invariant tori and Lagrange stability of pendulum-type equations,J. Differential Equations, 1990, 85: 54.

    Article  Google Scholar 

  9. Laederich, S., Levi, M., Invariant curves and time-dependent potentials,Ergod. Th. & Dynam. Sys., 1991, 11: 365.

    Article  Google Scholar 

  10. Moser, J., On invariant curves of area-preserving mappings of annulus,Nachr. Acad. Wiss. Göttingen Math-Phys., 1962, K1II: 1.

    Google Scholar 

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Huang, H., Yuan, R. Boundedness of solutions and existence of invariant tori for generalized pendulum type equation. Chin.Sci.Bull. 42, 1673–1675 (1997). https://doi.org/10.1007/BF02882662

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  • DOI: https://doi.org/10.1007/BF02882662

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