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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 3
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Original Articles

Oscillation of solutions of impulsive vector hyperbolic differential equations with delays

P. Prakash Department of Mathematics, Periyar University, Salem 636011, IndiaCorrespondence[email protected]
&
S. Harikrishnan Department of Mathematics, Periyar University, Salem 636011, India
Pages 459-473 | Received 25 Oct 2010, Accepted 15 Nov 2010, Published online: 10 Mar 2011
 
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Abstract

In this article, we investigate a class of impulsive vector hyperbolic differential equation with delays. Several sufficient conditions are established for H-oscillation of solutions of such systems subject to the Neumann boundary condition by employing certain second-order impulsive differential inequality, where H is a unit vector in ℝ M . The main results are illustrated by two examples.

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