@Article{Baculíková2020,
author = "Baculíková, Blanka and Džurina, Jozef",
title = "Oscillatory criteria via linearization of half-linear second order delay differential equations",
journal = "Opuscula Math.",
year = "2020",
volume = "40",
number = "5",
pages = "523--536",
doi = "https://doi.org/10.7494/OpMath.2020.40.5.523",
url = "https://doi.org/10.7494/OpMath.2020.40.5.523",
abstract = "In the paper, we study oscillation of the half-linear second order delay differential equations of the form \[\left(r(t)(y'(t))^{\alpha}\right)'+p(t)y^{\alpha}(\tau(t))=0.\] We introduce new monotonic properties of its nonoscillatory solutions and use them for linearization of considered equation which leads to new oscillatory criteria. The presented results essentially improve existing ones.",
keywords = "second order differential equations, delay, monotonic properties, linearization, oscillation",
issn = "1232-9274"
}