Nonautonomous Young Differential Equations Revisited.
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ABSTRACT:
SUBMITTER: Cong ND
PROVIDER: S-EPMC6223767 | biostudies-literature | 2018
REPOSITORIES: biostudies-literature
Publications
Nonautonomous Young Differential Equations Revisited.
Cong Nguyen Dinh ND Duc Luu Hoang LH Hong Phan Thanh PT
Journal of dynamics and differential equations 20171220 4
In this paper we prove that under mild conditions a nonautonomous Young differential equation possesses a unique solution which depends continuously on initial conditions. The proofs use estimates in <i>p</i>-variation norms, the construction of greedy sequence of times, and Gronwall-type lemma with the help of Shauder theorem of fixed points. ...[more]
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