TY  - JOUR
ID  - Graef2017
LB  - Graef2017
AU  - Graef, John R.
AU  - Tunҫ, Ercan
AU  - Grace, Said R.
TI  - Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation
ST  - Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2017
VL  - 37
IS  - 6
SP  - 839
EP  - 852
DO  - http://dx.doi.org/10.7494/OpMath.2017.37.6.839
UR  - http://dx.doi.org/10.7494/OpMath.2017.37.6.839
AB  - This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are presented. The results obtained can easily be extended to more general neutral differential equations as well as to neutral dynamic equations on time scales. Two examples are provided to illustrate the results.
KW  - third order
KW  - neutral differential equations
KW  - asymptotic behavior
KW  - nonoscillatory
KW  - oscillatory solution
SN  - 1232-9274
ER  -