Star algebra and Green functions of nonlinear differential equations

J. C. Houard; M. Irac-Astaud

Annales de l'I.H.P. Physique théorique (1985)

  • Volume: 43, Issue: 1, page 1-27
  • ISSN: 0246-0211

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Houard, J. C., and Irac-Astaud, M.. "Star algebra and Green functions of nonlinear differential equations." Annales de l'I.H.P. Physique théorique 43.1 (1985): 1-27. <http://eudml.org/doc/76292>.

@article{Houard1985,
author = {Houard, J. C., Irac-Astaud, M.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {star diagram; star algebra; abstract diagrams; algebraic description; Green functions},
language = {eng},
number = {1},
pages = {1-27},
publisher = {Gauthier-Villars},
title = {Star algebra and Green functions of nonlinear differential equations},
url = {http://eudml.org/doc/76292},
volume = {43},
year = {1985},
}

TY - JOUR
AU - Houard, J. C.
AU - Irac-Astaud, M.
TI - Star algebra and Green functions of nonlinear differential equations
JO - Annales de l'I.H.P. Physique théorique
PY - 1985
PB - Gauthier-Villars
VL - 43
IS - 1
SP - 1
EP - 27
LA - eng
KW - star diagram; star algebra; abstract diagrams; algebraic description; Green functions
UR - http://eudml.org/doc/76292
ER -

References

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  1. [1] J.C. Houard, Lett. Nuovo Cimento, t. 33, 1982, p. 519. MR659011
  2. [2] J.C. Houard and M. Irac-Astaud, J. Math. Phys., t. 24, 1983, p. 1997. Zbl0522.34050MR713531
  3. [3] J.C. Houard and M. Irac-Astaud, Two theorems on star diagrams (Preprint Feb. 1984), to appear in J. Math. Phys. Zbl0558.35068MR767550
  4. [4] Each star diagram thus defines an equivalence class of isomorphic systems, according to the definition of J.E. Graver and M.E. Watkins, Combinatorics with emphasis on the theory of Graphs, Springer-Verlag, New York, Heidelberg, Berlin, 1977. The diagrams having no isolated point or cross correspond to the classes of hypergraphs, see C. Berge, Graphes et hypergraphes, Dunod, Paris, 1970. MR357173
  5. [5] N. Bourbaki, Éléments de Mathématique, Livre II, Chap. II, Hermann, Paris, 1955. 

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