On the Chaplygin method for the Darboux problem

• Autorzy: Danuta Jaruszewska-Walczak
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

functional differential equation; Newton method; analytical approximations

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2007
• Tom: 47
• Numer: 1

Daty

wydano

2007

online

2017-12-19

Twórcy

autor

Danuta Jaruszewska-Walczak

Identyfikatory

DOI

10.14708/cm.v47i1.5234