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The existence and uniqueness of solutions to ordinary differential equations is demonstrated under suitable conditions on the problem data within the framework of the Picard-Lindelöf theorem using a fixed-point formulation. The Gronwall lemma provides a statement about the effects of data disturbances.

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Existence, Uniqueness and Stability

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  • 发表日期：

    2025年

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  • Sören Bartels

摘要

The existence and uniqueness of solutions to ordinary differential equations is demonstrated under suitable conditions on the problem data within the framework of the Picard-Lindelöf theorem using a fixed-point formulation. The Gronwall lemma provides a statement about the effects of data disturbances.