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On generalized methods of successive approximations

✍ Scribed by Roman Mańka


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
539 KB
Volume
72
Category
Article
ISSN
0362-546X

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New applications of Picardʼs successive
✍ Janne Gröhn 📂 Article 📅 2011 🏛 Elsevier Science 🌐 French ⚖ 134 KB

The iterative method of successive approximations, originally introduced by Émile Picard in 1890, is a basic tool for proving the existence of solutions of initial value problems regarding ordinary first order differential equations. In the present paper, it is shown that this method can be modified