On the number of zeros of nonoscillatory solutions to half-linear ordinary differential equations involving a parameter
On the number of zeros of nonoscillatory solutions to half-linear ordinary differential equations involving a parameter
In this paper the following half-linear ordinary differential equation is considered: \begin{equation} \tag {$\mathrm {H}_{\lambda }$} (|x'|^{\alpha }\operatorname {sgn} x')' + \lambda p(t)|x|^{\alpha }\operatorname {sgn} x =0,\qquad t \geq a, \end{equation} where $\alpha > 0$ is a constant, $\lambda > 0$ is a parameter, and $p(t)$ is a continuous function …