Oscillatory properties of third order neutral delay differential equations

John R. Graef; R. Savithri; E. Thandapani

doi:10.3934/proc.2003.2003.342

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2003, Volume 2003: 342-350. Doi: 10.3934/proc.2003.2003.342 open access

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Oscillatory properties of third order neutral delay differential equations

1.
Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403
2.
Department of Mathematics, Periyar University, Salem - 636 011 Tamil Nadu

Received: May 31, 2002

Published: March 2003

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Abstract

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.

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Mathematics Subject Classification: Primary: 34K15.

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