Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Several Notes on Existence Theorem of Peano
Oleg Zubelevich
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Keywords: Peano existence theorem, Non-Lipschitz nonlinearity, Non-uniqueness, IVP, ODE, Cauchy problem
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2012 Volume 55 Issue 1 Pages 89-97

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Abstract
An ODE in conditions of Peano's theorem has been considered. A family of solutions with Borel measurable dependence of the initial data has been obtained. Corresponding existence theorem for the transport equation has been proved.
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© 2012 by the Division of Functional Equations, The Mathematical Society of Japan
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