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Results tagged with real-analysis
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user 97898
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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Existence theory for first order scalar discontinuous ODE
Consider the scalar i.v.p. in ${\mathbb R}$
$$
x'=f(t,x), \; t\in[0,T], \; x(0)=x_0,
$$
where $T\in {\mathbb R}$, $T>0$, $x_0\in {\mathbb R} $, and $f:[0,T] \times {\mathbb R}\mapsto {\mathbb R}$ h …
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