This nice paper is concerned with the following sublinear-linear initial value problem: (1) \(x' = a(t)x + \sum^ n_{i = 1} b_ i(t)x^{r_ i} + c(t)\) for \(t>0\), (2) \(x(0)=0\), where \(a,b_ i\) \((i=1,2, \dots,n)\) and \(c\) are integrable and \(r_ 1,r_ 2,\dots,r_ n\) are reals such that \(0