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This tag is used if a reference is needed in a paper or textbook on a specific result.

6 votes
2 answers
292 views

Which result guarantees convergence of solution of an ODE to a set of non-compact, non-isola...

Consider a continuous ODE, $$\dot x = f(x), f \in C^1$$ $\dot x = 0$ for all $x \in K \subset \mathbb{R}^n$, where we assume that $K$ is a closed but unbounded set of non-isolated equilibrium. For exa …
Concu Bine's user avatar
4 votes
1 answer
1k views

Does the Legendre-Fenchel transform/convex conjugate of strongly convex functions have any d...

It is well known in convex analysis that when a closed, proper, function $f$ is Legendre-type, that is, essentially strictly convex and essentially smooth, the Legendre transform yields a dual functio …
Concu Bine's user avatar