%0 Generic %A Schlage-Puchta Jan-Christoph %D 2021 %F acta:73691 %K Differenciálegyenletek - közönséges, Picard-Lindelöf tétel %N 39 %T Optimal version of the Picard-Lindelöf theorem %U http://acta.bibl.u-szeged.hu/73691/ %X Consider the differential equation y 0 = F(x, y). We determine the weakest possible upper bound on |F(x, y) − F(x, z)| which guarantees that this equation has for all initial values a unique solution, which exists globally. %Z Bibliogr.: 8. p. ; összefoglalás angol nyelven