Geodesic
On the Chaplygin method for the Darboux problem
Commentationes Mathematicae, Tome 47 (2007) no. 1, pp. 11-21.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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 \(\{z^{(m)}\}\) such that if \(\tilde{z}\) is a classical solution of the original problem then \(\{z^{(m)}\}\) is uniformly convergent to z\(\tilde{z}\). The convergence that we get is of the Newton type.
DOI : 10.14708/cm.v47i1.5234
Mots-clés : functional differential equation, Newton method, analytical approximations 
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Danuta Jaruszewska-Walczak. On the Chaplygin method for the Darboux problem. Commentationes Mathematicae, Tome 47 (2007) no. 1, pp.  11-21. doi : 10.14708/cm.v47i1.5234. http://geodesic.mathdoc.fr/articles/10.14708/cm.v47i1.5234/

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