Peano existence theorem

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What Wikipedia says

In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy–Peano theorem, named after Giuseppe Peano and Augustin-Louis Cauchy, is a fundamental theorem which guarantees the existence of solutions to certain initial value problems.

Excerpt from the Wikipedia article “Peano existence theorem”, under the CC BY-SA 4.0 license. Read the article on Wikipedia