On Nagumo's Condition
Thomas Rogers · Canadian Mathematical Bulletin · 1972
The classical uniqueness theorem of Nagumo [1] for ordinary differential equations is as follows. Theorem. If f(t, y) is continuous on 0≤t≤1, -∞<y<∞ and if then there is at most one solution to the initial value problem y'=f(t, y), y(0)=0.