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A "birkhoff-lewis" type result for non autonomous differential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 1324)

Keywords

  • Periodic Solution
  • Hamiltonian System
  • Real Hilbert Space
  • Minimal Period
  • Morse Index

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References

  1. V. BENCI, Some Applications of the generalized Morse-Conley index to appear on "Conf.Sem.Mat.Univ.di Bari".

    Google Scholar 

  2. V. BENCI-D. FORTUNATO, Subharmonic solutions of prescribed minimal period for non autonomous differential equations, preprint (1986).

    Google Scholar 

  3. I. EKELAND, Une theorie de Morse pour les systèmes Hamiltoniens convexes, Ann. IHP, Analyse non lineaire, 1, 19–78 (1984).

    MathSciNet  MATH  Google Scholar 

  4. I. EKELAND-H. HOFER, Periodic solutions with prescribed period for convex autonomous Hamiltonian systems, preprint CEREMADE n. 8421, Paris (1984).

    Google Scholar 

  5. M. GIRARDI-M. MATZEU, Periodic solutions of convex autonomous Hamiltonian systems with a quadratic growth at the origin and superquadratic at infinity, to appear on Ann.Mat.Pura Appl..

    Google Scholar 

  6. A. LAZER-S. SOLIMINI, Nontrivial solutions of operator equations and Morse indices of critical points of min-max type, preprint (1985).

    Google Scholar 

  7. R. MICHALEK-G. TARANTELLO, Subharmonic solutions with prescribed minimal period for non autonomous Hamiltonian systems, preprint (1986).

    Google Scholar 

  8. P.H. RABINOWITZ, On subharmonic solutions of Hamiltonian systems, Comm. Pure Appl. Math., 33, 609–633 (1980).

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. C. VITERBO, Une thèorie de Morse pour les systèmes Hamiltoniens étoilés, these de III cycle, Univ. Paris Dauphine (1985).

    Google Scholar 

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© 1988 Springer-Verlag

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Benci, V., Fortunato, D. (1988). A "birkhoff-lewis" type result for non autonomous differential equations. In: Cardoso, F., de Figueiredo, D.G., Iório, R., Lopes, O. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1324. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0100784

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  • DOI: https://doi.org/10.1007/BFb0100784

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