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Results tagged with differential-equations
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user 22389
Ordinary or partial differential equations. Delay differential equations, neutral equations, integro-differential equations. Well-posedness, asymptotic behavior, and related questions.
6
votes
ODE properties true in finite dimension but not in Banach spaces of infinite dimension
A nice survey is the paper of Lobanov and Smolyanov:
Sergey Grigorievich Lobanov and Oleg Georgievich Smolyanov, Ordinary differential equations in locally convex spaces. Russian Mathematical Surveys …
- 1,590
4
votes
Accepted
How to fit the parameters of differential equations with known data?
This kind of problem is known in the literature as a nonlinear state-space system identification. Several algorithms have been proposed in the literature to solve these problems. I think a good starti …
- 1,590
5
votes
0
answers
371
views
A question about Carleman linearization
Carleman linearization is a technique used to embed a finite dimensional system of analytic ordinary differential equations into an infinite system of linear differential equations:¹⁻²
Let $f$ be ana …
- 1,590
3
votes
1
answer
298
views
On Wazewski's theorem on system of differential inequalities
According to Springer's Encyclopedia of Math entry on differential inequalities, T. Wazewski proved in 1950 the following theorem:
Consider the system of differential inequalities given by
$$ \d …
- 1,590
0
votes
1
answer
280
views
Quadratic stability of linear time varying system
(This question was originally asked at Math.SE, where it didn't receive any answers.)
Consider the linear time-varying system
$$ \dot{x} = A(t) x, $$
where $x \in \mathbb{R}^n$ and $A: [0,+\infty) …
- 1,590