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Convergence of series, sequences and functions and different modes of convergence.

6 votes
2 answers
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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 …
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