Another approach to the classical calculus of variations. I

Jan Chrastina

Archivum Mathematicum (1982)

  • Volume: 018, Issue: 4, page 205-218
  • ISSN: 0044-8753

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Chrastina, Jan. "Another approach to the classical calculus of variations. I." Archivum Mathematicum 018.4 (1982): 205-218. <http://eudml.org/doc/18097>.

@article{Chrastina1982,
author = {Chrastina, Jan},
journal = {Archivum Mathematicum},
keywords = {Lagrange problem; Cartan-Poincare form; Euler-Lagrange system; exterior differential forms; critical points of functional; Hamiltonian theory},
language = {eng},
number = {4},
pages = {205-218},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Another approach to the classical calculus of variations. I},
url = {http://eudml.org/doc/18097},
volume = {018},
year = {1982},
}

TY - JOUR
AU - Chrastina, Jan
TI - Another approach to the classical calculus of variations. I
JO - Archivum Mathematicum
PY - 1982
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 018
IS - 4
SP - 205
EP - 218
LA - eng
KW - Lagrange problem; Cartan-Poincare form; Euler-Lagrange system; exterior differential forms; critical points of functional; Hamiltonian theory
UR - http://eudml.org/doc/18097
ER -

References

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  1. Klötzleг R., Mehrdimensionale Variationsrechnung, Berlin 1969. (1969) 
  2. Chгastina J., On the general problem of the classical calculus of variations, ČSSR-GDR-Polish Conference on Diffєrential Geometry, Nové Město na Mor., 1980. (1980) 
  3. Sternbeгg S., Lectures on Differential geometry, London 1965. (1965) 
  4. Kгupka D., A geometric theory of ordinary first order variational problem in fibered manifolds, I, II, J. Math. Anal. Appl. 49 (1975), 180-206, 469-479. (1975) MR0362397
  5. Schwartz L., Théorie des distributions, Paгis 1973. (1973) 
  6. Sternberg S., Guillemin V., Geometric Asymptotics, AMS 1979. (1979) Zbl0364.53011
  7. Паламодов В. П., Линейные дифференциальные операторы с постоянными коэффициентами, Москва 1967. (1967) Zbl1230.82006
  8. Гельфанд И. М., Шилов Г. Е., Обобщенные функции, вып. 2, Москва 1959. (1959) Zbl1234.81002

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