Positive solutions for the one-dimensional p-Laplacian

In this paper, the criterion for the existence of at least one positive solution of the one-dimensional p-Laplacian (b(t)Φ(u)′ + c(t)f(u) = 0, are obtained, where Φ(u) = |u|p−1u, p > 0 is a constant, and b(t) > 0 for t > 0. The method used in this paper is shooting method.