On the Mayer problem. I: General principles

Veronika Chrastinová; Václav Tryhuk

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 5, page 555-570
  • ISSN: 0139-9918

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Chrastinová, Veronika, and Tryhuk, Václav. "On the Mayer problem. I: General principles." Mathematica Slovaca 52.5 (2002): 555-570. <http://eudml.org/doc/34565>.

@article{Chrastinová2002,
author = {Chrastinová, Veronika, Tryhuk, Václav},
journal = {Mathematica Slovaca},
keywords = {diffiety; Mayer variational problem; Poincaré-Cartan module; Hamilton-Jacobi equation; Weierstraß excess function; Pfaffian equations},
language = {eng},
number = {5},
pages = {555-570},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the Mayer problem. I: General principles},
url = {http://eudml.org/doc/34565},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Chrastinová, Veronika
AU - Tryhuk, Václav
TI - On the Mayer problem. I: General principles
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 5
SP - 555
EP - 570
LA - eng
KW - diffiety; Mayer variational problem; Poincaré-Cartan module; Hamilton-Jacobi equation; Weierstraß excess function; Pfaffian equations
UR - http://eudml.org/doc/34565
ER -

References

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  1. CARTAN E., Le calcul des variations et certaines familles des courbes, In: Oeuvres Complètes, Partie II, Vol 2, Paris, 1953, pp. 1011-1034. (1953) MR0058523
  2. CHRASTINA J., The formal theory of differential equations, In: Folia Fac. Sci. Natur. Univ. Masaryk. Brun. Math. 6, Masaryk Univ., Brno, 1998. (1998) Zbl0906.35002MR1656843
  3. CHRASTINA J., Examples from the Calculus of variations Part I, Part II; Part III, Part IV, Math. Bohemica 125; 126 (2000; 2001), 55-76, 187-197; 93-111, 691-710. (197;) 
  4. GIAQUANTA, S- HILDEBRANT S., Calculus of Variations I; II, Grundlehren Math. Wiss. 311; 312, Springer Verlag, New York, 1995. (1995) 
  5. MILJUTIN A. A.-OSMOLOVSKIJ N. P., Calculus of Variations and Optimal Control, Transl. Math. Monogr. 180, Amer. Math. Soc, Providence, RI, 1998 [Transl. from the original Russian manuscript by Dimitrii Chibisov]. (1998) MR1641590
  6. CHRASTINOVÁ V.-TRYHUK V., On the Mayer problem. II. Examples, Math. Slovaca 52 (2002), 571-590. Zbl1032.49028MR1963448

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