TY  - JOUR
ID  - Baculíková2020
LB  - Baculíková2020
AU  - Baculíková, Blanka
AU  - Džurina, Jozef
TI  - Oscillatory criteria via linearization of half-linear second order delay differential equations
ST  - Oscillatory criteria via linearization of half-linear second order delay differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2020
VL  - 40
IS  - 5
SP  - 523
EP  - 536
DO  - https://doi.org/10.7494/OpMath.2020.40.5.523
UR  - https://doi.org/10.7494/OpMath.2020.40.5.523
AB  - 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.
KW  - second order differential equations
KW  - delay
KW  - monotonic properties
KW  - linearization
KW  - oscillation
SN  - 1232-9274
ER  -