Asymptotic Solutions of nonlinear difference equations

I. P. van den Berg[1]

  • [1] Departamento de Matemática, Universidade de Évora. Colégio Luis António Verney, 7000-671 Évora, Portugal.

Annales de la faculté des sciences de Toulouse Mathématiques (2008)

  • Volume: 17, Issue: 3, page 635-660
  • ISSN: 0240-2963

Abstract

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We study the asymptotics of first-order nonlinear difference equations. In particular we present an asymptotic functional equation for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution with such asymptotic behaviour.

How to cite

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van den Berg, I. P.. "Asymptotic Solutions of nonlinear difference equations." Annales de la faculté des sciences de Toulouse Mathématiques 17.3 (2008): 635-660. <http://eudml.org/doc/10099>.

@article{vandenBerg2008,
abstract = {We study the asymptotics of first-order nonlinear difference equations. In particular we present an asymptotic functional equation for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution with such asymptotic behaviour.},
affiliation = {Departamento de Matemática, Universidade de Évora. Colégio Luis António Verney, 7000-671 Évora, Portugal.},
author = {van den Berg, I. P.},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {asymptotics; stability; rivers; nonstandard analysis; change of scale; nonlinear difference equations},
language = {eng},
month = {6},
number = {3},
pages = {635-660},
publisher = {Université Paul Sabatier, Toulouse},
title = {Asymptotic Solutions of nonlinear difference equations},
url = {http://eudml.org/doc/10099},
volume = {17},
year = {2008},
}

TY - JOUR
AU - van den Berg, I. P.
TI - Asymptotic Solutions of nonlinear difference equations
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2008/6//
PB - Université Paul Sabatier, Toulouse
VL - 17
IS - 3
SP - 635
EP - 660
AB - We study the asymptotics of first-order nonlinear difference equations. In particular we present an asymptotic functional equation for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution with such asymptotic behaviour.
LA - eng
KW - asymptotics; stability; rivers; nonstandard analysis; change of scale; nonlinear difference equations
UR - http://eudml.org/doc/10099
ER -

References

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