On formal theory of differential equations. I.

Jan Chrastina

Časopis pro pěstování matematiky (1986)

  • Volume: 111, Issue: 4, page 353-383
  • ISSN: 0528-2195

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Chrastina, Jan. "On formal theory of differential equations. I.." Časopis pro pěstování matematiky 111.4 (1986): 353-383. <http://eudml.org/doc/21651>.

@article{Chrastina1986,
author = {Chrastina, Jan},
journal = {Časopis pro pěstování matematiky},
keywords = {theory of invariants; general systems of partial differential equations; invertible transformations; diffieties; Pfaffian systems; compatibility; commutative algebra; homological algebra; characteristics},
language = {eng},
number = {4},
pages = {353-383},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On formal theory of differential equations. I.},
url = {http://eudml.org/doc/21651},
volume = {111},
year = {1986},
}

TY - JOUR
AU - Chrastina, Jan
TI - On formal theory of differential equations. I.
JO - Časopis pro pěstování matematiky
PY - 1986
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 111
IS - 4
SP - 353
EP - 383
LA - eng
KW - theory of invariants; general systems of partial differential equations; invertible transformations; diffieties; Pfaffian systems; compatibility; commutative algebra; homological algebra; characteristics
UR - http://eudml.org/doc/21651
ER -

References

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  1. D. Hilbert, Über den Begriff der Klaѕѕe von Differentialgleichungen, Feѕtѕchrift H. Weber, 5. Martz 1912. (1912) Zbl43.0378.01
  2. J. F. Ritt, Differential Algebra, AMS Colloquium Publicationѕ 1950. (1950) Zbl0037.18402MR0201431
  3. A. M. Vinogradov, Geometry of nonlinear differential equationѕ, Itogi Nauki i Techniki, VINITI, Ser. Problemy Geometrii, 11 (1980), 89-134, (Engliѕh tranѕl. in Ј. Soviet Math. 17 (1981), 1624-1649). (1980) MR0579929
  4. A. M. Vinogradov, The category of differential equationѕ, Proc. Conf. on Diff. Geom. and Appl., Nové Měѕto na Mor. 1983, Part 2: Geometrical Methodѕ in Phyѕicѕ, Ј. E. Purkynӗ Univ. Brno, edit. by D. Krupka, 289-301. (1983) MR0793217
  5. V. P. Palamodov, Linear Differential Operatorѕ with Conѕtant Coefficientѕ, Nauka 1967, Moѕkva (Engliѕh tranѕl., Grundlehren der Math. Wiѕѕ. 168, Springer Verlag 1970). (1967) 
  6. T. Tzujishita, On variation bicomplexeѕ asѕociated to differential equationѕ, Oѕaka Јournal of Math. 19 (1982), 311-363. (1982) MR0667492
  7. J. Chrastina, A double complex related with a system of partial differential equations, Archivum Math., Brno, 19 (1983), 83-97, 133-142. (1983) Zbl0539.58002
  8. F. J. Pommaret, Syѕtemѕ of Partial Differential Equationѕ and Pѕeudogroupѕ, Mathematicѕ and Itѕ Appl. 14 (1978) (Ruѕѕian tranѕl., Mir 1983, Moѕkva). (1978) 
  9. J. P. Serre, Algebre locale, multipliciteѕ, Lecture Noteѕ in Math. 11, Springer Verlag 1975. (1975) MR0201468
  10. N. Radu, Inele locale I, Bucureşti 1968. (1968) Zbl0176.31703
  11. J. P. Serre, [unknown], A letter in Bull. Am. Math. Soc. 70 (1964), 42-46. (1964) Zbl0232.20086
  12. K. Kakié, Algebraic ѕtructure of characteriѕticѕ in involutive ѕystemѕ of non-linear partial differential equationѕ, Publ. RIMS, Kyoto Univ. 13 (1977), 107-158. (1977) 
  13. E. Cartan, Leѕ ѕyѕtemeѕ differentielѕ et leurѕ applicationѕ géometriqueѕ, Actualitéѕ ѕcient. et ind. 994, Pariѕ 1945. (1945) 
  14. H. Cartan, S. Eilenberg, Homological Algebra, Princeton 1956. (1956) Zbl0075.24305MR0077480

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