Oleg Zubelevich
Abstract
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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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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.
Key concepts: Peano axioms, Peano existence theorem, Mathematics, Arzelà–Ascoli theorem, Ode, Picard–Lindelöf theorem, Pure mathematics, Mathematical analysis