KnowraUniqueness of solutionsLinked fromLinked fromThe 6 pages that link to Uniqueness of solutions, each with the reason it gives.All 6Related 5Narrower topic 1Maximum principleRelated: Boundary comparisons and the maximum principle often show that two candidate solutions must coincide.Mean value theoremRelated: Derivative sign or nonvanishing conditions can rule out two distinct roots using the theorem.Peano existence theoremRelated: Peano guarantees existence but permits multiple solutions from the same initial data.Poincaré–Bendixson theoremRelated: Unique planar trajectories cannot cross, constraining the geometry of limit sets.Cauchy–Kovalevskaya theoremRelated: Under its hypotheses, the theorem gives a unique local analytic solution.Osgood's lemmaNarrower topic: This is the exact conclusion the criterion establishes.