# Generalized zero

Let $\mathbb{T}$ be a time scale. Let $(py^{\Delta})^{\Delta}+qy^{\sigma}=0$ be a self-adjoint equation. We say that a solution $y$ of the self-adjoint equation has a generalized zero at $t$ if $y(t)=0$ or if $t$ is left-scattered and the following formula holds: $p(\rho(t))y(\rho(t))y(t)<0$.