A generalized Picard-Lindelöf theorem

Siegmund, Stefan; Nowak, Christine; Diblı́k, Josef

doi:10.14232/ejqtde.2016.1.28

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Remark 24 1) Condition (21) Can Be Easily Interpreted Geo1

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Cited by 7 publications

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“…So, in some sense, conditions (C1) and (C2) are sharp. Theorem 2.3 generalizes the main result in [13], where only foliations consisting of hyperplanes are considered. In the next example we show the limitations of linear (or affine) coordinate changes which are used in [13].…”

Section: Remark 24 1) Condition (21) Can Be Easily Interpreted Geosupporting

confidence: 70%

A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs

Cid¹,

Tojo²

2018

Electron. J. Qual. Theory Differ. Equ.

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Section: Remark 24 1) Condition (21) Can Be Easily Interpreted Geosupporting

confidence: 70%

A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs

Cid¹,

Tojo²

2018

Electron. J. Qual. Theory Differ. Equ.

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“…For extensions of the Picard-Lindelöf theorem using contractions we refer the reader to [2], [3] and [4]. A different generalization was given in [6]. However, our proof is more elementary, once some local existence result is available.…”

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confidence: 99%