The distribution of zeroes and critical points of solutions of a second order half-linear differential equation (Q369724)

Summary: This paper reuses an idea first devised by Kwong to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second order half-linear differential equation \[ (p(x)\Phi(y'))' + q(x)\Phi(y) = 0 \] with \(p(x), q(x) > 0, \Phi(t) = |t|^{r-2}t\), and \(r\) real such that \(r > 1\). It also compares it with other methods developed by the authors.