KnowraCarathéodory's existence theoremLinked fromLinked fromThe 2 pages that link to Carathéodory's existence theorem, each with the reason it gives.All 2Broader topic 1Compared with 1Peano existence theoremCompared with: It extends existence theory to time-dependent right-hand sides that need not be jointly continuous.Constantin CarathéodoryBroader topic: The theorem bears his name and extends existence results to less regular differential equations.