Browsing by Subject "second order differential equations"
Now showing 1 - 1 of 1
- Results Per Page
- Sort Options
Item type:Article, Access status: Open Access , Oscillatory criteria via linearization of half-linear second order delay differential equations(Wydawnictwa AGH, 2020) Baculíková, Blanka; Džurina, JozefIn 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.