Summary: We study classes of two-point boundary value problems of the form: \[ \begin{cases} - (\phi (u^\prime))^\prime = \lambda h (t) f (u) ; \ (0, 1) \\ u (0) = 0 \\ u^\prime (1) + c (u (1)) u (1) = 0, \end{cases} \] where \(\phi(s) = | s |^{p - 2} s\) for \(p > 1\), \(h \in C^1((0, 1], (0, \infty))\) is decreasing, \(c \in C([0, \infty), (0, \infty))\) is non-decreasing and bounded, and \(f \in C^1 ((0, \infty), \mathbb{R})\) is increasing on \([L, \infty)\) for some \(L > 0\), has infinite semipositone structure at 0, and growth at \(\infty\) like \(u^q\) for \(q \in (0, p - 1)\). For classes of such \(h\) and \(f\), we establish the uniqueness of positive solutions for \(\lambda \gg 1\).