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.
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.
@article{AFST_2008_6_17_3_635_0,
author = {I. P. van den Berg},
title = {Asymptotic {Solutions} of nonlinear difference equations},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {635--660},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 17},
number = {3},
year = {2008},
doi = {10.5802/afst.1196},
mrnumber = {2488235},
zbl = {1170.39005},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1196/}
}
TY - JOUR AU - I. P. van den Berg TI - Asymptotic Solutions of nonlinear difference equations JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2008 SP - 635 EP - 660 VL - 17 IS - 3 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1196/ DO - 10.5802/afst.1196 LA - en ID - AFST_2008_6_17_3_635_0 ER -
%0 Journal Article %A I. P. van den Berg %T Asymptotic Solutions of nonlinear difference equations %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2008 %P 635-660 %V 17 %N 3 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1196/ %R 10.5802/afst.1196 %G en %F AFST_2008_6_17_3_635_0
I. P. van den Berg. Asymptotic Solutions of nonlinear difference equations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 17 (2008) no. 3, pp. 635-660. doi : 10.5802/afst.1196. https://afst.centre-mersenne.org/articles/10.5802/afst.1196/
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