TY  - JOUR
ID  - Džurina2019
LB  - Džurina2019
AU  - Džurina, Jozef
AU  - Jadlovská, Irena
AU  - Stavroulakis, Ioannis P.
TI  - Oscillatory results for second-order noncanonical delay differential equations
ST  - Oscillatory results for second-order noncanonical delay differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2019
VL  - 39
IS  - 4
SP  - 483
EP  - 495
DO  - https://doi.org/10.7494/OpMath.2019.39.4.483
UR  - https://doi.org/10.7494/OpMath.2019.39.4.483
AB  - 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.
KW  - linear differential equation
KW  - delay
KW  - second-order
KW  - noncanonical
KW  - oscillation
SN  - 1232-9274
ER  -