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Results tagged with real-analysis
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user 62716
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Finding conditions to guarantee existence of solutions to IVP [closed]
Consider the following IVP:
$x'=f(t,x)$ and $x(0)=x_0$, where $x\in \mathbb{R}^n$ and $t\in \mathbb{R}$.
Suppose that for all $(t,x)\in\mathbb{R}^{n+1}$, $|f(t,x)|\leq b(t) |x|^2$.
In order for the …
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