IJPAM: Volume 77, No. 3 (2012)
OSCILLATION OF THIRD ORDER HALF LINEAR
NEUTRAL DELAY DIFFERENTIAL EQUATIONS
NEUTRAL DELAY DIFFERENTIAL EQUATIONS
E. Thandapani
, S. Tamilvanan
, E.S. Jambulingam
Ramanujan Institute for Advanced Study in Mathematics
University of Madras
Chennai, 600005, INDIA
MCA Department
Vel Tech Multi Tech
Chennai, 600032, INDIA




University of Madras
Chennai, 600005, INDIA

Vel Tech Multi Tech
Chennai, 600032, INDIA
Abstract. This paper is concerned with the oscillatory behavior of third order neutral differential equation
![\begin{displaymath}[a(t)([x(t) + p(t)x(\delta(t))]^{\prime\prime})^\alpha]^\prime + q(t)x^\alpha(\sigma(t)) = 0, \quad t\geq t_0, \eqno(E)
\end{displaymath}](img5.png)
where





Some new oscillation criteria for equation (E) are established. Examples illustrating the main results are included.
Received: December 19, 2011
AMS Subject Classification: 34K11
Key Words and Phrases: third order, half-linear, neutral delay differential equation, oscillation, nonoscillation
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 77
Issue: 3