@Article{Džurina2019, author = "Džurina, Jozef and Jadlovská, Irena and Stavroulakis, Ioannis P.", title = "Oscillatory results for second-order noncanonical delay differential equations", journal = "Opuscula Math.", year = "2019", volume = "39", number = "4", pages = "483--495", doi = "https://doi.org/10.7494/OpMath.2019.39.4.483", url = "https://doi.org/10.7494/OpMath.2019.39.4.483", abstract = "The main purpose of this paper is to improve recent oscillation results for the second-order half-linear delay differential equation \[\left(r(t)\left(y'(t)\right)^\gamma\right)'+q(t)y^\gamma(\tau(t))= 0, \quad t\geq t_0,\] under the condition \[\int_{t_0}^{\infty}\frac{\text{d} t}{r^{1/\gamma}(t)} \lt \infty.\] Our approach is essentially based on establishing sharper estimates for positive solutions of the studied equation than those used in known works. Two examples illustrating the results are given.", keywords = "linear differential equation, delay, second-order, noncanonical, oscillation", issn = "1232-9274" }