TY  - JOUR
ID  - Elabbasy2012
LB  - Elabbasy2012
AU  - Elabbasy, Elmetwally M.
AU  - Hassan, T. S.
AU  - Moaaz, O.
TI  - Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments
ST  - Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2012
VL  - 32
IS  - 4
SP  - 719
EP  - 730
DO  - http://dx.doi.org/10.7494/OpMath.2012.32.4.719
UR  - http://dx.doi.org/10.7494/OpMath.2012.32.4.719
AB  - Oscillation criteria are established for second order nonlinear neutral differential equations with deviating arguments of the form \[r(t)\psi(x(t))|z'(t)|^{\alpha -1} z'(t)+ \int_a^b q(t,\xi)f(x(g(t,\phi)))d\sigma (\xi) =0,\quad t\gt t_0,\] where \(\alpha \gt 0\) and \(z(t)= x(t)+p(t)x(t-\tau)\). Our results improve and extend some known results in the literature. Some illustrating examples are also provided to show the importance of our results.
KW  - oscillation
KW  - second order
KW  - neutral differential equations
KW  - deviating arguments
SN  - 1232-9274
ER  -