On the Mayer problem. II: Examples

Veronika Chrastinová; Václav Tryhuk

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 5, page 571-590
  • ISSN: 0139-9918

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Chrastinová, Veronika, and Tryhuk, Václav. "On the Mayer problem. II: Examples." Mathematica Slovaca 52.5 (2002): 571-590. <http://eudml.org/doc/32283>.

@article{Chrastinová2002,
author = {Chrastinová, Veronika, Tryhuk, Václav},
journal = {Mathematica Slovaca},
keywords = {diffiety; Mayer variational problem; Poincaré-Cartan module; Hamilton-Jacobi equation; Euler-Lagrange equation},
language = {eng},
number = {5},
pages = {571-590},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the Mayer problem. II: Examples},
url = {http://eudml.org/doc/32283},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Chrastinová, Veronika
AU - Tryhuk, Václav
TI - On the Mayer problem. II: Examples
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 5
SP - 571
EP - 590
LA - eng
KW - diffiety; Mayer variational problem; Poincaré-Cartan module; Hamilton-Jacobi equation; Euler-Lagrange equation
UR - http://eudml.org/doc/32283
ER -

References

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  1. CHRASTINA J., Exаmples from the Cаlculus of vаriаtions I, II; III, IV, Math. Bohemica 125; 126 (2000; 2001), 55-76, 187-197; 93-111, 691-710. (197;) 
  2. CHRASTINOVÁ V., Underdetermined differentiаl equаtions, In: Theory and practice of differential equations. Proc. of the Зrd Internat. Conference "Diffeгential equations and applications" Saint-Petersburg, Russia, June 12-17, 2000. Math. Res., St. Petersburg 6, Izd. Sankt-Peterburgskogo Gos. Tekhn. Univ., Sankt-Peterburg, 2000, pp. 52-57. MR1826232
  3. CHRASTINOVÁ V.-TRYHUK V., On the Mаyer problem. I. Generаl principles, Math. Slovaca 52, 555-570. 
  4. PELLETIER F.-VALÉRE BOUCHE L., Abnormаlity of trаjectory in sub-Riemаnniаn structure, In: Geometry in Nonlinear Control and Differential Inclusions. Banach Center Publ. 32, Polish Acad. Sci., Warszaw, 1995, pp. 301-317. (1995) MR1364436
  5. SUSSMANN H. J., A Cornucopiа of four-dimensionаl аbnormаl sub-Riemаnniаn minimizers, In: Sub-Riemannian Geometry (A. Bellaďche et al., eds.), Proc. of the Satellite Meeting of the lst European Congress of Mathematics "Journées nonholonomes: géométrie sous-riemannienne, théorie du contrôle, robotique", Paris, France, June 30-July 1, 1992. Progr. Math. 144, Birkhäuser, Basel, 1996, pp. 341-364. (1992) MR1421825

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