Consider the differential equation $y'=F(x,y)$. 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.
No takes yet. Share an insight, caveat, or question.
Jan‐Christoph Schlage‐Puchta (2021) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: