KnowraPeano existence theoremLinked fromLinked fromThe 8 pages that link to Peano existence theorem, each with the reason it gives.All 8Broader topic 2Related 2Compared with 4Picard–Lindelöf theoremCompared with: Unlike Picard–Lindelöf, it does not guarantee uniqueness.Arzelà–Ascoli theoremRelated: Compactness methods can turn approximate solutions into a convergent subsequence yielding an exact solution.Existence and uniqueness theoremCompared with: It separates the existence guarantee from uniqueness: continuity alone need not prevent multiple solutions.Giuseppe PeanoBroader topic: Peano proved an existence result that became a central theorem in differential equations.Uniqueness of solutionsCompared with: Continuity can ensure existence without ensuring that the solution is unique.Existence theoremBroader topic: It guarantees a differential-equation solution without ensuring that the solution is unique.Carathéodory's existence theoremCompared with: It offers a related existence result under continuity rather than measurable-time dependence.Osgood's lemmaRelated: It frames the historical gap between existence under continuity and uniqueness.