Solutions périodiques des équations de Hamilton

I. Ekeland

Recherche Coopérative sur Programme n°25 (1979)

  • Volume: 27, page 63-73

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Ekeland, I.. "Solutions périodiques des équations de Hamilton." Recherche Coopérative sur Programme n°25 27 (1979): 63-73. <http://eudml.org/doc/274144>.

@article{Ekeland1979,
author = {Ekeland, I.},
journal = {Recherche Coopérative sur Programme n°25},
language = {fre},
pages = {63-73},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Solutions périodiques des équations de Hamilton},
url = {http://eudml.org/doc/274144},
volume = {27},
year = {1979},
}

TY - JOUR
AU - Ekeland, I.
TI - Solutions périodiques des équations de Hamilton
JO - Recherche Coopérative sur Programme n°25
PY - 1979
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 27
SP - 63
EP - 73
LA - fre
UR - http://eudml.org/doc/274144
ER -

References

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  1. [1] J.P. Aubin et I. Ekeland : "Second-order evolution équations with convex hamiltonian", 1978, Cahiers CEREMADE n° 7825, to appear. Zbl0429.35042
  2. [2] M. Berger : "On a family of periodic solutions of Hamiltonian Systems", Journal of Differential Equations10 (1971) p. 17-26. Zbl0237.34067MR280802
  3. [3] F. Clarke : "Periodic solutions to Hamiltonian inclusions", 1978, to appear. Zbl0461.34030MR614215
  4. [4] F. Clarke : "Solutions périodiques d'inclusions hamiltoniennes", CRASParis Série A, 20 novembre 1978. 
  5. [5] F. Clarke et I. Ekeland : "Hamiltonian trajectories having prescribed minimal period", 1978, Cahiers CEREMADE n° 7822, à paraître aux communications in Pure and Applied Mathematics. Zbl0403.70016
  6. [6] F. Clarke et I. Ekeland : "Solutions périodiques, de période donnée, des équations de Hamilton", CRASParis, série A, 28 novembre 1978. Zbl0404.34033
  7. [7] I. Ekeland : "Periodic solutions of Hamilton's equations and a theorem of P. Rabinowitz", 1978, Cahiers CEREMADE n° 7827, à paraître au Journal of Differential Equations. Zbl0446.70019MR555325
  8. [8] I. Ekeland et J.M. Lasry : "Nombre de solutions périodiques des équations de Hamilton", 1979, Cahiers CEREMADE n° 7902, à paraître. Zbl0397.34049
  9. [9] I. Ekeland et J.M. Lasry : "Nombre de solutions périodiques des équations de Hamilton", Note CRASParis, 1979, t. 288 n° 3, p.209-211. Zbl0397.34049MR525925
  10. [10] Horn : "Beiträge zur Theorie der kleinen Schwingungen", Z. Math. Phys.48, 1903, p.400-434. Zbl34.0764.01JFM34.0764.01
  11. [11] Liapounov : "Problème général de la stabilité du mouvement", Ann. Fac. Sc.Toulouse (2), 1907, p. 203-474. JFM38.0738.07
  12. [12] P. Rabinowitz : "Periodic solutions of Hamiltonian systems", Comm. Pure and Applied Math31 (1978), p. 157-184. Zbl0358.70014MR467823
  13. [13] P. Rabinowitz : "A variational method far finding periodic solutions of differential equations", Proc. Symp. Nonlinear Evolution Equations1977Madison (wis), Academic Press. Zbl0486.35009MR513821
  14. [14] Seifert : "Periodische Bewegungen mekanischer Systemen", Math. Zeit.51 (1948) p. 197-216. Zbl0030.22103MR25693
  15. [15] A. Weinstein : "Normal modes for nonlinear Hamiltonian systems", Inventiones Mathematicae20, 1973, p. 47-57. Zbl0264.70020MR328222
  16. [16] A. Weinstein : "Periodic orbits for convex Hamiltonian systems", Annals of Math.1978. Zbl0403.58001MR512430

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