Oscillations de systèmes hamiltoniens non linéaires. III
Bulletin de la Société Mathématique de France, Tome 109 (1981), pp. 297-330. 
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     author = {Ekeland, Ivar},
     title = {Oscillations de syst\`emes hamiltoniens non lin\'eaires. {III}},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {297--330},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {109},
     year = {1981},
     doi = {10.24033/bsmf.1944},
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     language = {fr},
     url = {https://www.numdam.org/articles/10.24033/bsmf.1944/}
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Ekeland, Ivar. Oscillations de systèmes hamiltoniens non linéaires. III. Bulletin de la Société Mathématique de France, Tome 109 (1981), pp. 297-330. doi : 10.24033/bsmf.1944. https://www.numdam.org/articles/10.24033/bsmf.1944/

[0] Aubin. - Mathematical methods of game theory and economics, North Holland, 1979. | Zbl

[1] Benci-Rabinowitz. - Critical point theorems for indefinite functionals, Inventiones, vol. 52, fasc. 2, 1979, p. 241-274. | MR | Zbl

[2] Clarke. - Periodic solutions to Hamiltonian inclusions, J. Diff. Eq. (à paraître). | Zbl

[3] Clarke-Ekeland. - Hamiltonian trajectories having prescribed minimal period, Comm. Pure Applied Math. (à paraître). | Zbl

[4] Clake-Ekeland. - Nonlinear oscillations and boundary-value problems for Hamiltonian systems, Archive Rat. Mech. An. (à paraître). | Zbl

[5] Ekeland. - Nonlinear oscillations of Hamiltonian systems II, Advances in Mathematics (à paraître). | Zbl

[6] Ekeland. - Periodic solutions of Hamiltonian equations and a theorem of P. Rabinowitz, J. Diff. Eq., vol. 34, n° 3, 1979, p. 523-534. | MR | Zbl

[7] Ekeland-Lasry. - On the number of periodic solutions for a Hamiltonian flow on a convex energy surface, Ann. Math. (à paraître).

[8] Ekeland-Teman. - Analyse convexe et problèmes variationnels, Dunod-Gauthier-Villars, Paris, 1972.

[9] Minorsky. - Nonlinear oscillations, Robert E. Krieger, Huntington, N.Y., 1974.

[10] Poincare. - Les méthodes nouvelles de la mécanique céleste, Gauthier-Villars, Paris, 1892.

[11] Rockafellar. - Measurable dependance of convex sets and functions on parameters, J. Math. An. Appl., vol. 28, 1969, p. 4-25. | MR | Zbl

[12] Rockafellar. - Integrals which are convex functionals, Pacific J. Math., vol. 24, n° 3, 1968, p. 525-539. | MR | Zbl

[13] Rockafellar. - Integrals which are convex functions II, Pacific J. Math., vol. 39, 1971, p. 439-469. | MR | Zbl

[14] Rockafellar. - Convex integral functionals and duality, Contributions to Nonlinear Functional Analysis, ZARANTONELLO, éd., Academic Press, N.Y., 1971, p. 215-236. | MR | Zbl

[15] Meyer. - Probabilités et potentiels, Hermann, Paris. | Zbl

[16] Amann-Zehnder. - Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations (à paraître).

  • Vakhrameev, S. A. Critical point theory for smooth functions on Hilbert manifolds with singularities and its application to some optimal control problems, Journal of Soviet Mathematics, Volume 67 (1993) no. 1, p. 2713 | DOI:10.1007/bf01455151
  • Capietto, Anna; Mawhin, Jean; Zanolin, Fabio A continuation approach to superlinear periodic boundary value problems, Journal of Differential Equations, Volume 88 (1990) no. 2, p. 347 | DOI:10.1016/0022-0396(90)90102-u
  • Ambrosetti, A; Zelati, V.Coti; Ekeland, I Symmetry breaking in Hamiltonian systems, Journal of Differential Equations, Volume 67 (1987) no. 2, p. 165 | DOI:10.1016/0022-0396(87)90144-6
  • Bahri, A.; Berestycki, H. Forced vibrations of superquadratic Hamiltonian systems, Acta Mathematica, Volume 152 (1984) no. 0, p. 143 | DOI:10.1007/bf02392196
  • Blot, J. Methodes Asymptotiques Dans L’Etude de Systemes Hamiltoniens Non Autonomes, Advances in Hamiltonian Systems (1983), p. 143 | DOI:10.1007/978-1-4684-6728-4_6
  • Gaussens, E. “Numerical Research of Periodic Solution for a Hamiltonian System”, Advances in Hamiltonian Systems (1983), p. 171 | DOI:10.1007/978-1-4684-6728-4_7
  • Zehnder, E. Periodic solutions of hamiltonian equations, Dynamics and Processes, Volume 1031 (1983), p. 172 | DOI:10.1007/bfb0072117
  • Gaussens, Erick Periodic solutions in the large for non-linear differential systems, Numerical Functional Analysis and Optimization, Volume 6 (1983) no. 1, p. 25 | DOI:10.1080/01630568308816153

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