Far East Journal of Dynamical Systems
Volume 21, Issue 1, Pages 45 - 58
(January 2013)
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OSCILLATORY AND ASYMPTOTIC BEHAVIOR FOR THIRD ORDER DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT
Yi Shao and Haihua Liang
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Abstract:
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. |
| Keywords and phrases: third order, nonlinear differential equation, piecewise constant argument, oscillation criteria. |
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