On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle

2025, Volume 30, Number 4, pp. 566-581

Author(s): Bufetov A. I., Zavolokin I. I.

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, Volume 30, Number 4, pp. 566-581

DOI: 10.1134/S1560354725040070

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