existenta si unicitate locala, o problema mai veche

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Cezar Lupu
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existenta si unicitate locala, o problema mai veche

Post by Cezar Lupu »

Sa se studieze existenta si unicitatea solutiilor pentru urmatoarea ecuatie diferentiala:

\( \frac{dx}{dt}=\lambda(x) \), unde \( \lambda(x) = \left\{ \begin{array}{ll}
x\sin\frac{1}{x} & \mbox{x\neq 0}\\
0 & \mbox{x=0}\\
\end{array}\right. \)
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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