The brachistochrone problem with frictional forces

Roberto Giambò; Fabio Giannoni

ESAIM: Control, Optimisation and Calculus of Variations (2000)

  • Volume: 5, page 187-206
  • ISSN: 1292-8119

How to cite

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Giambò, Roberto, and Giannoni, Fabio. "The brachistochrone problem with frictional forces." ESAIM: Control, Optimisation and Calculus of Variations 5 (2000): 187-206. <http://eudml.org/doc/90566>.

@article{Giambò2000,
author = {Giambò, Roberto, Giannoni, Fabio},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {minimal travel time; non linear constraints; brachistochrone problem},
language = {eng},
pages = {187-206},
publisher = {EDP Sciences},
title = {The brachistochrone problem with frictional forces},
url = {http://eudml.org/doc/90566},
volume = {5},
year = {2000},
}

TY - JOUR
AU - Giambò, Roberto
AU - Giannoni, Fabio
TI - The brachistochrone problem with frictional forces
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2000
PB - EDP Sciences
VL - 5
SP - 187
EP - 206
LA - eng
KW - minimal travel time; non linear constraints; brachistochrone problem
UR - http://eudml.org/doc/90566
ER -

References

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  1. [1] H. Brezis, Analyse fonctionnelle. Masson, Paris ( 1983). Zbl0511.46001MR697382
  2. [2] F. Giannoni, P. Piccione and J.A. Verderesi, An approach to the relativistic brachistochrone problem by sub-Riemannian geometry. J. Math. Phys. 38 ( 1997) 6367-6381. Zbl0897.53051MR1483499
  3. [3] F. Giannoni and P. Piccione, An existence theory for relativistic brachistochrones in stationary space-times. J. Math. Phys. 39 ( 1998) 6137-6152. Zbl0934.58016MR1653097
  4. [4] J. Nash, The embedding problem for Riemannian manifolds. Ann. Math. 63 ( 1956) 20-63. Zbl0070.38603MR75639
  5. [5] L.A. Pars, An Introduction to the Calculus of Variations. Heinemann, London ( 1962). Zbl0108.10303MR147932
  6. [6] V. Perlick, The brachistochrone problem in a stationary space-time. J. Math. Phys. 32 ( 1991) 3148-3157. Zbl0771.49018MR1131701

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