Étude d'un système différentiel non linéaire régissant un phénomène gyroscopique forcé

Mourad Benabas

Colloquium Mathematicae (1996)

  • Volume: 70, Issue: 1, page 41-58
  • ISSN: 0010-1354

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Benabas, Mourad. "Étude d'un système différentiel non linéaire régissant un phénomène gyroscopique forcé." Colloquium Mathematicae 70.1 (1996): 41-58. <http://eudml.org/doc/210395>.

@article{Benabas1996,
author = {Benabas, Mourad},
journal = {Colloquium Mathematicae},
keywords = {super- and subquadratic potentials; second-order Hamiltonian system; minimality of periods; solutions},
language = {eng},
number = {1},
pages = {41-58},
title = {Étude d'un système différentiel non linéaire régissant un phénomène gyroscopique forcé},
url = {http://eudml.org/doc/210395},
volume = {70},
year = {1996},
}

TY - JOUR
AU - Benabas, Mourad
TI - Étude d'un système différentiel non linéaire régissant un phénomène gyroscopique forcé
JO - Colloquium Mathematicae
PY - 1996
VL - 70
IS - 1
SP - 41
EP - 58
LA - eng
KW - super- and subquadratic potentials; second-order Hamiltonian system; minimality of periods; solutions
UR - http://eudml.org/doc/210395
ER -

References

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  1. [1] A. Ambrosetti and V. Coti Zelati, Solutions with minimal period for Hamiltonian systems in potential well, ISAS, 1985. Zbl0623.58013
  2. [2] A. Assem, Thèse de docteur en science, Paris-Dauphine, 1987. 
  3. [3] J. P. Aubin and I. Ekeland, Applied Nonlinear Analysis, Wiley, New York, 1984. Zbl0641.47066
  4. [4] A. Bahri and P. L. Lions, Solutions of superlinear elliptic equations and their Morse indices, Ceremade, no. 9003. Zbl0818.35028
  5. [5] M. Benabas, Thèse de magister, U.S.T.H.B.-Alger, 1992. 
  6. [6] I. Ekeland, Une théorie de Morse pour les systèmes Hamiltoniens convexes, Ann. Inst. H. Poincaré 1 (1984), 19-78. Zbl0537.58018
  7. [7] I. Ekeland, Convexity Methods in Hamiltonian Mechanics, Springer, 1989. Zbl0707.70003
  8. [8] I. Ekeland and H. Hofer, Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems, Invent. Math. 81 (1985), 155-188. Zbl0594.58035
  9. [9] I. Ekeland and H. Hofer, Subharmonics for convex nonautonomous Hamiltonian systems, Comm. Pure Appl. Math. 40 (1987), 1-36. Zbl0601.58035
  10. [10] I. Ekeland et R. Temam, Analyse convexe et problèmes variationnels, Dunod et Gauthier-Villars, 1972. 
  11. [11] H. Hofer, A geometric description of the neighbourhood of a critical point given by the mountain-pass theorem, J. London Math. Soc. 31 (1985), 556-570. Zbl0573.58007
  12. [12] J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Springer, 1989. 

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