IJPAM: Volume 79, No. 4 (2012)

COMPARISON THEOREMS FOR SOLUTIONS OF
NEUTRAL HYPERBOLIC DIFFERENTIAL EQUATIONS

Quan-Wen Lin$^1$, Rong-Kun Zhuang$^2$
$^1$Department of Mathematics
Guangdong University of Petrochemical
Technology, Maoming, 525000, P.R. CHINA
$^2$Department of Mathematics
Huizhou University
Huizhou, 516015, P.R. CHINA


Abstract. In this paper, we investigate Sturmian comparison theorems for second order neutral hyperbolic differential equations with two kinds of boundary conditions. Certain Sturm type of oscillation comparison theorems are obtained.

Received: May 28, 2012

AMS Subject Classification: 34C10, 34K15

Key Words and Phrases: neutral hyperbolic differential equations, differential inequality, Sturmian comparison theorem, 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: 79
Issue: 4