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Results tagged with real-analysis
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user 114308
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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2
answers
129
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ODEs whose finite-time solutions are not L^2 on their interval of definition
Let $f:\mathbb{R}^n\to\mathbb{R}^n$ be analytic and consider the ODE
$$x'(t)=f(x(t)).$$
It is well-known that if $(t_{min},t_{max})$ is the maximal domain of a solution $x$ and $t_{max}<\infty$, then
…
- 3,085