Resurgence relations for classes of differential and difference equations

Boele Braaksma; Robert Kuik

Annales de la Faculté des sciences de Toulouse : Mathématiques (2004)

  • Volume: 13, Issue: 4, page 479-492
  • ISSN: 0240-2963

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Braaksma, Boele, and Kuik, Robert. "Resurgence relations for classes of differential and difference equations." Annales de la Faculté des sciences de Toulouse : Mathématiques 13.4 (2004): 479-492. <http://eudml.org/doc/73633>.

@article{Braaksma2004,
author = {Braaksma, Boele, Kuik, Robert},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {resurgence relations; differential equations of level 1; Borel sums; Borel transforms},
language = {eng},
number = {4},
pages = {479-492},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {Resurgence relations for classes of differential and difference equations},
url = {http://eudml.org/doc/73633},
volume = {13},
year = {2004},
}

TY - JOUR
AU - Braaksma, Boele
AU - Kuik, Robert
TI - Resurgence relations for classes of differential and difference equations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2004
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 13
IS - 4
SP - 479
EP - 492
LA - eng
KW - resurgence relations; differential equations of level 1; Borel sums; Borel transforms
UR - http://eudml.org/doc/73633
ER -

References

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  1. [BK04] Braaksma ( B. ) , Kuik ( R. ). - Asymptotics and singularities for a class of difference equation, Contemporary Mathematics , to appear (2004). Zbl1076.39005MR2130828
  2. [Bra01] Braaksma ( B.L.J.). — Transseries for a class of nonlinear difference equations, J. Diff. Equations Appl., 7(5), p. 717-750 (2001). Zbl1001.39002MR1871576
  3. [CNP93] Candelpergher ( B.), Nosmas ( J.-C.), Pham ( F.). — Approche de la résurgence, Actualités Mathématiques, Herman, Paris (1993). Zbl0791.32001MR1250603
  4. [Cos98] Costin ( O.). - On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations, Duke Math. J., 93(2), p. 289-344 (1998). Zbl0948.34068MR1625999
  5. [Eca85] Ecalle ( J. ). - Les fonctions résurgentes. Tome III, Université de Paris-Sud Département de Mathématique, Orsay (1985). Zbl0602.30029MR852210
  6. [Eca92] Ecale ( J.). — Introduction aux fonctions analysables et preuve constructive de la conjecture de Dulac, Actualités Mathématiques , Hermann, Paris ( 1992). MR1399559
  7. [Kui03] Kuik ( R.)Transseries in difference and differential equations , Thesis, University of Groningen ( 2003 ). 
  8. [Mal85] Malgrange ( B.). - Introduction aux travaux de J. Ecalle , Enseign. Math. (2) 31(3-4), p. 261-282 (1985). Zbl0601.58043MR819354

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