A Picard method without Lipschitz continuity for some ordinary differential equations
Francisco Bernis; Man Kam Kwong
Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)
- Volume: 5, Issue: 4, page 577-585
- ISSN: 0240-2963
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topBernis, Francisco, and Kam Kwong, Man. "A Picard method without Lipschitz continuity for some ordinary differential equations." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.4 (1996): 577-585. <http://eudml.org/doc/73395>.
@article{Bernis1996,
author = {Bernis, Francisco, Kam Kwong, Man},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {initial value problem; scalar differential equation; modified Picard iteration},
language = {eng},
number = {4},
pages = {577-585},
publisher = {UNIVERSITE PAUL SABATIER},
title = {A Picard method without Lipschitz continuity for some ordinary differential equations},
url = {http://eudml.org/doc/73395},
volume = {5},
year = {1996},
}
TY - JOUR
AU - Bernis, Francisco
AU - Kam Kwong, Man
TI - A Picard method without Lipschitz continuity for some ordinary differential equations
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 4
SP - 577
EP - 585
LA - eng
KW - initial value problem; scalar differential equation; modified Picard iteration
UR - http://eudml.org/doc/73395
ER -
References
top- [AL] Agarwal ( R.P.) AND Lakshmikantham ( V.) .— Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations, World Scientific, Singapore, 1993. Zbl0785.34003MR1336820
- [BM] Bernis ( F.) and Mcleod ( J.B.) .— Similarity solutions of a higher order nonlinear diffusion equation, Nonlinear Anal.17 (1991), pp. 1039-1068. Zbl0754.34004MR1136229
- [H] Hartman ( P.) .— Ordinary Differential Equations, Second Edition, Birkhäuser, Boston, 1982. Zbl0476.34002MR658490
- [KK1] Kaper ( H.G.) and Kwong ( M.K.) .— Uniqueness for a class of non-linear initial value problems, J. Math. Anal. Appl.130 (1988), pp. 467-473. Zbl0653.34007MR929952
- [KK2] Kaper ( H.G.) and Kwong ( M.K.) .— Uniqueness results for some nonlinear initial and boundary value problems, Arch. Rational Mech. Anal.102 (1988), pp. 45-56. Zbl0652.34022MR938383
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