OSCILLATORY AND ASYMPTOTIC BEHAVIOR FOR THIRD ORDER DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT
In this paper, we study the oscillation and asymptotic behavior of third order nonlinear delay differential equation with piecewise constant argument of the form
We establish several new sufficient conditions which insure that any solution of this equation oscillates or converges to zero. Some examples are given to illustrate the importance of our results.
third order, nonlinear differential equation, piecewise constant argument, oscillation criteria.