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Results tagged with real-analysis
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user 493354
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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A solution satisfying an integral inequality is bounded [closed]
Let $y$ be a positive function and $c>0$. If $y$ satisfies the following integral inequality
\begin{equation}
y(t)+\int_{0}^{t}y(s)ds\leq c_{1}\int_{0}^{t} y^{\frac{3}{2}}(s)ds+c_{2}
\end{equation}
Ho …
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