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Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.

0 votes
2 answers
69 views

Is the right-hand term of the dynamic system equivalent to the original system after being m...

Given two dynamical systems where $f$ is lipschitz for $x$ : $\begin{cases} x'(t)=af(x,t),\\ x(0)=x_0,\end{cases} t\in[0,\tau]$ and $\begin{cases} z'(t)=f(z,t),\\ z(0)=x_0,\end{cases} t\in[0,\tau']$, …
li ang Duan's user avatar
1 vote
1 answer
188 views

Can orientation preserving diffeomorphism in $\mathbb{R}^d$ be presented by flowmap of dynam...

Because flowmaps are homeomorphic maps, I was wondering if there is any literature that proves that diffeomorphism $\Phi(x)$ can be expressed as a flowmap of a certain dynamical system? that is, does …
li ang Duan's user avatar