American Institute of Mathematical Sciences

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2003, 2003(Special): 342-350. doi: 10.3934/proc.2003.2003.342

Oscillatory properties of third order neutral delay differential equations

John R. Graef 1, , R. Savithri 2, and  E. Thandapani 2,

1. 

Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, United States
2. 

Department of Mathematics, Periyar University, Salem - 636 011 Tamil Nadu, India, India

Received  June 2002 Published  April 2003

The authors consider the third order neutral delay differential equation

$a(t) b(t) (y(t) + py(t - \tau))'^'^' + q(t)f(y(t - \sigma)) = 0$


where $a(t) > 0, b(t) > 0, q(t) >= 0, 0 <= p < 1, \tau > 0$, and $\sigma > 0$. Criteria for the oscillation of all solutions of (*) are obtained. Examples illustrating the results are included.

Keywords: Neutral delay differential equation, third order equations, oscillation..
Mathematics Subject Classification: Primary: 34K1.
Citation: John R. Graef, R. Savithri, E. Thandapani. Oscillatory properties of third order neutral delay differential equations. Conference Publications, 2003, 2003 (Special) : 342-350. doi: 10.3934/proc.2003.2003.342
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