On the Chaplygin method for the Darboux problem

Danuta Jaruszewska-Walczak. "On the Chaplygin method for the Darboux problem." Commentationes Mathematicae 47.1 (2007): null. <http://eudml.org/doc/291862>.

@article{DanutaJaruszewska2007,
abstract = {In the paper we deal with the Darboux problem for hyperbolic functional differential equations. We give the sufficient conditions for the existence of the sequence $\lbrace z^\{(m)\}\rbrace $ such that if $\tilde\{z\}$ is a classical solution of the original problem then $\lbrace z^\{(m)\}\rbrace $ is uniformly convergent to z$\tilde\{z\}$. The convergence that we get is of the Newton type.},
author = {Danuta Jaruszewska-Walczak},
journal = {Commentationes Mathematicae},
keywords = {functional differential equation; Newton method; analytical approximations},
language = {eng},
number = {1},
pages = {null},
title = {On the Chaplygin method for the Darboux problem},
url = {http://eudml.org/doc/291862},
volume = {47},
year = {2007},
}

TY - JOUR
AU - Danuta Jaruszewska-Walczak
TI - On the Chaplygin method for the Darboux problem
JO - Commentationes Mathematicae
PY - 2007
VL - 47
IS - 1
SP - null
AB - In the paper we deal with the Darboux problem for hyperbolic functional differential equations. We give the sufficient conditions for the existence of the sequence $\lbrace z^{(m)}\rbrace $ such that if $\tilde{z}$ is a classical solution of the original problem then $\lbrace z^{(m)}\rbrace $ is uniformly convergent to z$\tilde{z}$. The convergence that we get is of the Newton type.
LA - eng
KW - functional differential equation; Newton method; analytical approximations
UR - http://eudml.org/doc/291862
ER -