On the solution manifold of a differential equation with a delay which has a zero

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-05-02 DOI:10.14232/ejqtde.2022.1.31

H. Walther

引用次数: 1

Abstract

For a differential equation with a state-dependent delay we show that the associated solution manifold X f of codimension 1 in the space C 1 ( [ − r , 0 ] , R ) is an almost graph over a hyperplane, which implies that X f is diffeomorphic to the hyperplane. For the case considered previous results only provide a covering by 2 almost graphs.

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时滞为零的微分方程的解流形

对于具有状态相关延迟的微分方程，我们证明了空间C1（[-r，0]，r）中余维1的相关解流形Xf是超平面上的概图，这意味着Xf与超平面是微分同胚的。对于所考虑的情况，先前的结果只提供了2个几乎图的覆盖。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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