Cauchy-Lipschitz theorem
Differential equations

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AF652 V1 Article

Cauchy-Lipschitz theorem


Differential equations

Author : Bernard RANDÉ

Publication date: April 10, 2004 | Lire en français

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1. Cauchy-Lipschitz theorem

The Cauchy-Lipschitz theorem helps us to identify the general results we can hope to apply to a differential equation. We first present the case of first-order scalar equations, which provides a simple visualization of the situation. The other cases are simply easy generalizations, or lead directly to them.

1.1 Cauchy problem

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