Almost periodic solutions of forced second order hamiltonian systems

Joël Blot

Annales de la Faculté des sciences de Toulouse : Mathématiques (1991)

  • Volume: 12, Issue: 3, page 351-363
  • ISSN: 0240-2963

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Blot, Joël. "Almost periodic solutions of forced second order hamiltonian systems." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.3 (1991): 351-363. <http://eudml.org/doc/73285>.

@article{Blot1991,
author = {Blot, Joël},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {second order differential equation; almost periodic function; almost periodic solution; variational principle; calculus of variations in mean},
language = {eng},
number = {3},
pages = {351-363},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Almost periodic solutions of forced second order hamiltonian systems},
url = {http://eudml.org/doc/73285},
volume = {12},
year = {1991},
}

TY - JOUR
AU - Blot, Joël
TI - Almost periodic solutions of forced second order hamiltonian systems
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1991
PB - UNIVERSITE PAUL SABATIER
VL - 12
IS - 3
SP - 351
EP - 363
LA - eng
KW - second order differential equation; almost periodic function; almost periodic solution; variational principle; calculus of variations in mean
UR - http://eudml.org/doc/73285
ER -

References

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  1. [1] Arnold ( V.I.) .— Équations différentielles ordinaires, fourth edition, M.I.R., Moscou (1988). 
  2. [2] Besicovitch ( A.S.) . — Almost periodic functions, Cambridge Univ. Press, Cambridge (1932). Zbl0004.25303JFM58.0264.02
  3. [3] Blot ( J.) .— Une approche variationnelle des orbites quasi-périodiques des systèmes hamiltoniens, Ann. Sci. Math. Québec, 13, (2) (1989) pp. 7-32. Zbl0698.70015
  4. [4] Blot ( J.) . — Calcul des variations en moyenne temporelle, Notes C.R. Acad. Sc.Paris, t. 306, série I (1988) pp. 809-811. Zbl0658.49010
  5. [5] Blot ( J.) . — Calculus of variations in mean and convex lagrangians, IIIIsrael J. Math.67, (3) (1989) pp. 337-344. Zbl0691.49015
  6. [6] Blot ( J.) .— Trajectoires presque-périodiques des systèmes lagrangiens convexes, Notes C.R. Acad. Sc.Paris, t. 310, série I (1988) pp. 761-863. Zbl0704.70006
  7. [7] Blot ( J.) .— Oscillations presque-périodiques forcée d'équations d'Euler-Lagrange, (submitted). Zbl0801.34043
  8. [8] Blot ( J.) .— Almost periodically forced pendulum (submitted). Zbl0788.34037
  9. [9] Bohr ( H.) . — Almost periodic functions, Julius Springer, Berlin (1933). 
  10. [10] Brezis ( H.) .— Analyse fonctionnelle : théorie et applications, Masson, Paris (1983). Zbl0511.46001
  11. [11] G. DE FIGUEIREDO ( D.) .— The Ekeland variational principle, with applications and detours, Tata Inst. of Fund. Res.Bombay (1989). 
  12. [12] Fink ( A.M.) . — Almost periodic differential equations, Lect. Notes in Math. n° 337, Springer-Verlag, Berlin (1974). Zbl0325.34039
  13. [13] Mawhin ( J.) and Willem ( M.) .— Critical points theory and hamiltonian systems, Springer-Verlag, New-York (1989). Zbl0676.58017
  14. [14] Roseau ( M.) . — Vibrations non linéaires et théorie de la stabilité, Springer-Verlag, Berlin (1966). Zbl0135.30603

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