The authors study oscillatory properties of the perturbed half-linear differential equation
where , , , are continuous functions and . The perturbation is allowed in both the coefficients and . The authors extend the results of O.Došlý and S. Fišnarová [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 12, 3756–3766 (2010; Zbl 1207.34041)] and show that the perturbed half-linear Euler equation
considered in the limiting case , is nonoscillatory.