Nonautonomous Young Differential Equations Revisited
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 p -variation norms, the construction of greedy sequence of times, and Gronwall-type lemma with the h...
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| Veröffentlicht in: | Journal of dynamics and differential equations 2018, Vol.30 (4), p.1921-1943 |
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| container_end_page | 1943 |
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| container_issue | 4 |
| container_start_page | 1921 |
| container_title | Journal of dynamics and differential equations |
| container_volume | 30 |
| creator | Cong, Nguyen Dinh Duc, Luu Hoang Hong, Phan Thanh |
| description | 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
p
-variation norms, the construction of greedy sequence of times, and Gronwall-type lemma with the help of Shauder theorem of fixed points. |
| doi_str_mv | 10.1007/s10884-017-9634-y |
| format | Article |
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| ispartof | Journal of dynamics and differential equations, 2018, Vol.30 (4), p.1921-1943 |
| issn | 1040-7294 1572-9222 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Applications of Mathematics Differential equations Fixed points (mathematics) Initial conditions Mathematics Mathematics and Statistics Norms Ordinary Differential Equations Partial Differential Equations |
| title | Nonautonomous Young Differential Equations Revisited |
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