Copyright © 2011 Ondřej Došlý and Simona Fišnarová. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We study perturbations of the nonoscillatory half-linear differential equation , , . We find explicit formulas for the functions , such that the equation is conditionally oscillatory, that is, there exists a constant such that the previous equation is oscillatory if and nonoscillatory if . The obtained results extend the previous results concerning two-parametric perturbations of the half-linear Euler differential equation.