IJPAM: Volume 75, No. 4 (2012)
OSCILLATION OF THIRD-ORDER NEUTRAL
RETARDED DIFFERENTIAL EQUATIONS
RETARDED DIFFERENTIAL EQUATIONS
Tongxing Li
, Ethiraju Thandapani
, John R. Graef
School of Control Science and Engineering
Shandong University
Jinan, Shandong 250061, P.R. CHINA
School of Mathematical Science
University of Jinan
Shandong, 250022, P.R. CHINA
Ramanujan Institute For Advanced Study in Mathematics
University of Madras
Chennai 600005, INDIA
Department of Mathematics
The University of Tennessee at Chattanooga
Chattanooga, TN 37403-2598, USA
, Ethiraju Thandapani, John R. Graef
School of Control Science and Engineering
Shandong University
Jinan, Shandong 250061, P.R. CHINA
School of Mathematical Science
University of Jinan
Shandong, 250022, P.R. CHINA
Ramanujan Institute For Advanced Study in Mathematics
University of Madras
Chennai 600005, INDIA
Department of Mathematics
The University of Tennessee at Chattanooga
Chattanooga, TN 37403-2598, USA
Abstract. This paper is concerned with the oscillatory and asymptotic behavior of the solutions of the third-order neutral retarded differential equation
![\begin{equation*}
\left[a(t)\left(b(t)\left(x(t) + p(t)x(t-\tau)\right)'\right)'\right]'+q(t)x(t-\sigma)=0,
\end{equation*}](img4.png){kind=small}
where 
, 
, 
, 
, and
. Examples illustrating the main result are given.
Received: January 20, 2012
AMS Subject Classification: 34C10, 34K11
Key Words and Phrases: third-order, neutral retarded differential equation, oscillation
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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: 75
Issue: 4
