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Elementary proofs of Peano's existence theorem
Published online by Cambridge University Press: 09 April 2009
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An “elementary” proof of Peano's existence theorem is given that, in addition to avoiding the Ascoli lemma, relies neither on Dini's theorem, nor on uniform continuity of the right hand side of φ' = f(t,φ). It is based on superfunctions. Also, another standard proof of that theorem, based on approximation of the right hand side, is made elementary.
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- Copyright © Australian Mathematical Society 1973
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