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Oscillatory properties of third order neutral delay differential equations

Pages: 342 - 350, Issue Special, July 2003

 Abstract        Full Text (186.2K)              

John R. Graef - Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, United States (email)
R. Savithri - Department of Mathematics, Periyar University, Salem - 636 011 Tamil Nadu, India (email)
E. Thandapani - Department of Mathematics, Periyar University, Salem - 636 011 Tamil Nadu, India (email)

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.

Keywords:  Neutral delay differential equation, third order equations, oscillation.
Mathematics Subject Classification:  Primary: 34K15.

Received: June 2002; Published: April 2003.