Nonautonomous Young differential equations revisited

Published 21 May 2017 in math.PR | (1705.07473v1)

Abstract: In this paper we prove that under weak conditions a nonautonomous Young differential equation possesses a unique solution which depends continuously on initial conditions. The proofs use estimates in p-variation norms, greedy time techniques, and Gronwall-type lemma with the help of Shauder theorem of fixed points.

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