论文标题
在延迟零的微分方程的溶液歧管上
On the solution manifold of a differential equation with a delay which has a zero
论文作者
论文摘要
对于具有状态依赖性延迟的微分方程，我们表明codimnsion 1在空间中的$ c^1（[ - r，0]，\ mathbb {r}）$几乎是超平面上的图形，这意味着$ x_f $对超平面差异。对于被认为先前的结果的情况，仅提供2个几乎图形的覆盖率。
For a differential equation with a state-dependent delay we show that the associated solution manifold $X_f$ of codimnsion 1 in the space $C^1([-r,0],\mathbb {R})$ 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.
