Does somebody knows if it is possible to obtain an inequality (like for Gronwall inequality) on $f$ if $f$ verify $$ f(t) \leq A+\int_0^{2t} g(s)f(s) ds $$. Where $f$ and $g$ are as smooth as necessary and nonnegative.
Thanks.
2026-02-23 06:59:08.1771829948
Kind of Gronwall Inequality
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See the first result of this work. I think that this inequality is called of Gronwall-Bellman (or Gronwall-Bellman-Bihari) inequality.