An application of Newton's method to differential and integral equations

Authors
Gutierrez, JM Hernandez, MA
Citation
Jm. Gutierrez et Ma. Hernandez, An application of Newton's method to differential and integral equations, ANZIAM J, 42, 2001, pp. 372-386
Citations number
14
Categorie Soggetti
Mathematics
Journal title
ANZIAM JOURNAL
ISSN journal
14424436 → ACNP
Volume
42
Year of publication
2001
Part
3
Pages
372 - 386
Database
ISI
SICI code
1442-4436(200101)42:<372:AAONMT>2.0.ZU;2-H
Abstract
Newton's method is applied to an operator that satisfies stronger condition s than those of Kantorovich, Convergence and error estimates are compared i n the two situations, As an application, we obtain information on the exist ence and uniqueness of a solution for differential and integral equations.