Aleksander Bufetov

ul. Gubkina 8, 119991 Moscow, Russia
Steklov Mathematical Institute of Russian Academy of Sciences

Publications:

Bufetov A. I., Zavolokin I. I.
Abstract
The aim of this note is to present a simple observation that a slight refinement of the contraction mapping principle allows one to recover the precise convergence rate in the Picard – Lindelöf theorem.
Keywords: Picard – Lindelöf argument, Banach – Caccioppoli contraction mapping principle, existence and uniqueness of solutions, ordinary differential equation
Citation: Bufetov A. I., Zavolokin I. I.,  On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle, Regular and Chaotic Dynamics, 2025, vol. 30, no. 4, pp. 566-581
DOI:10.1134/S1560354725040070

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