Advances in Differential Equations and Control Processes
Volume 11, Issue 2, Pages 71 - 91
(May 2013)
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OSCILLATION CRITERIA OF CERTAIN EVEN ORDER NONLINEAR DIffERENTIAL EQUATION WITH PIECEWISE CONSTANT ARGUMENT
Yi Shao and Haihua Liang
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Abstract: This paper is concerned with the oscillation of even order nonlinear delay differential equation with piecewise constant argument of the form
where nis an odd number. This equation has the properties of both differential and difference equations. We establish three new sufficient conditions which insure that any solution of this equation oscillates. Several examples are given to illustrate the application of our results. |
Keywords and phrases: even order, nonlinear differential equation, piecewise constant argument, oscillation criteria. |
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